The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.
{"title":"PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES","authors":"PRASHANT KUMAR SHUKLA, GEETA VERMA, VIRENDRA NATH PATHAK","doi":"10.46939/j.sci.arts-23.3-a16","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a16","url":null,"abstract":"The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a10
OCHANAN NETHAJI, PITCHAI JEYALAKSHMI
In this paper, we introduce a new classes of sets called Ẽ-closed sets and Ẽα-closed sets in topological spaces and we study some of its basic properties. This class lies between the class of closed sets and the class of g-closed sets.
{"title":"TOPOLOGY BASED ON NEW GENERALIZED CLOSED SETS","authors":"OCHANAN NETHAJI, PITCHAI JEYALAKSHMI","doi":"10.46939/j.sci.arts-23.3-a10","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a10","url":null,"abstract":"In this paper, we introduce a new classes of sets called Ẽ-closed sets and Ẽα-closed sets in topological spaces and we study some of its basic properties. This class lies between the class of closed sets and the class of g-closed sets.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a07
BRANKO MALEŠEVIĆ, MILOŠ MIĆOVIĆ
This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate the exponential function precisely. Additionally, we discuss the relation between MEPs and stratified families of functions from [1] through two applications, referring to inequalities from papers [2] and [3].
{"title":"EXPONENTIAL POLYNOMIALS AND STRATIFICATION IN THE THEORY OF ANALYTIC INEQUALITIES","authors":"BRANKO MALEŠEVIĆ, MILOŠ MIĆOVIĆ","doi":"10.46939/j.sci.arts-23.3-a07","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a07","url":null,"abstract":"This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate the exponential function precisely. Additionally, we discuss the relation between MEPs and stratified families of functions from [1] through two applications, referring to inequalities from papers [2] and [3].","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a02
HURİYE KADAKAL, MAHİR KADAKAL
In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved power-mean integral inequalities.
{"title":"STRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES","authors":"HURİYE KADAKAL, MAHİR KADAKAL","doi":"10.46939/j.sci.arts-23.3-a02","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a02","url":null,"abstract":"In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved power-mean integral inequalities.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a05
ASIYA ANSARI, NAJMUDDIN AHMAD
In this article, we present as a comparative result of Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM) and Variational Iteration Method (VIM). These methods used for developed to find the analytical approximate solution of linear Fredholm integro-differential equations. The main purpose of this paper was to show a better method for Numerical equations which does not give easily analytical solution. So, in this paper, we find approximate solutions of linear Fredholm integro-differential equations. We explain the convergence of ADM, MADM and VIM by using examples of a deterministic model by graphs and tables. All the calculations performed by the help of MATLAB (2018) Version 9.4.
{"title":"NUMERICAL ACCURACY OF FREDHOLM LINEAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD, MODIFIED ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD","authors":"ASIYA ANSARI, NAJMUDDIN AHMAD","doi":"10.46939/j.sci.arts-23.3-a05","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a05","url":null,"abstract":"In this article, we present as a comparative result of Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM) and Variational Iteration Method (VIM). These methods used for developed to find the analytical approximate solution of linear Fredholm integro-differential equations. The main purpose of this paper was to show a better method for Numerical equations which does not give easily analytical solution. So, in this paper, we find approximate solutions of linear Fredholm integro-differential equations. We explain the convergence of ADM, MADM and VIM by using examples of a deterministic model by graphs and tables. All the calculations performed by the help of MATLAB (2018) Version 9.4.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a17
FATMA MOUSSAOUI, SAMIR BENAISSA
In this paper, we introduce the concept of extended linear negative quadrant dependence (ELNQD, in short). We establish a new concentration inequalities and complete convergence for the distribution of sums of extended linear negative quadrant dependent random variables. Using these inequalities for proved the complete convergence of first autoregressive processes model generated by identically distributed ELNQD errors.
{"title":"NEW CONCENTRATION INEQUALITIES AND COMPLETE CONVERGENCE FOR ELNQD RANDOM VARIABLES WITH APPLICATION TO LINEAR MODELS GENERATED BY ELNQD ERRORS","authors":"FATMA MOUSSAOUI, SAMIR BENAISSA","doi":"10.46939/j.sci.arts-23.3-a17","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a17","url":null,"abstract":"In this paper, we introduce the concept of extended linear negative quadrant dependence (ELNQD, in short). We establish a new concentration inequalities and complete convergence for the distribution of sums of extended linear negative quadrant dependent random variables. Using these inequalities for proved the complete convergence of first autoregressive processes model generated by identically distributed ELNQD errors.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a01
NAEEMA BEGUM, MUHAMMAD HANIF, USMAN SHAHZAD, NASIR ALI
Estimation of variance is a commonly discussed topic under simple random sampling (SRS) scheme. The current article deals the issue of variance estimation utilizing supplementary information with the nonparametric approach under different ranked set sampling (RSS) schemes. We propose a class of nonparametric variance estimators utilizing kernel regression [1] with different bandwidths (Plug-in and Cross-validation), under RSS schemes. Simulation study is provided utilizing diverse data sets. The comparison of simulation results has been made between the members of the proposed class with respect to the unbiased variance estimator.
{"title":"VARIANCE ESTIMATORS USING NON-PARAMETRIC APPROACH UNDER DIFFERENT RANKED SET SAMPLING SCHEMES","authors":"NAEEMA BEGUM, MUHAMMAD HANIF, USMAN SHAHZAD, NASIR ALI","doi":"10.46939/j.sci.arts-23.3-a01","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a01","url":null,"abstract":"Estimation of variance is a commonly discussed topic under simple random sampling (SRS) scheme. The current article deals the issue of variance estimation utilizing supplementary information with the nonparametric approach under different ranked set sampling (RSS) schemes. We propose a class of nonparametric variance estimators utilizing kernel regression [1] with different bandwidths (Plug-in and Cross-validation), under RSS schemes. Simulation study is provided utilizing diverse data sets. The comparison of simulation results has been made between the members of the proposed class with respect to the unbiased variance estimator.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a06
ASMA BOUABÇA, WAHIBA BOUABSA, NADJET BELLATRACH
The nonparametric local linear hazard functional estimation analyzed by the k.N.N method of the scalar response variable B, not totally observed provided the functional variable A. The purpose of this paper is to illustrate, under some general conditions, the almost complete convergence (with rates) of the constructed estimator.
{"title":"NONPARAMETRIC FUNCTIONAL HAZARD WITH k NEAREST NEIGHBORS ESTIMATION WHERE THE OBSERVATIONS ARE M.A.R. AND RELATED VIA A FUNCTIONAL SINGLE-INDEX STRUCTURE","authors":"ASMA BOUABÇA, WAHIBA BOUABSA, NADJET BELLATRACH","doi":"10.46939/j.sci.arts-23.3-a06","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a06","url":null,"abstract":"The nonparametric local linear hazard functional estimation analyzed by the k.N.N method of the scalar response variable B, not totally observed provided the functional variable A. The purpose of this paper is to illustrate, under some general conditions, the almost complete convergence (with rates) of the constructed estimator.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-a03
SERGEY P. KLYKOV
An elementary and short proof of Fermat's Last Theorem (FLT) is presented, which is understandable even to a student. Perhaps this proof is precisely the lost proof, which could similar to own Fermat's proof. Restricting some coefficients of polynomials by value 0, except for the first term, allows to prove the Fermat's Last Theorem for domain Z, since in this case the canonical representation of p-adic numbers is limited to only one digit in the corresponding p-ary system. It was shown within the framework of elementary algebra, which corresponds to the Pythagorean theorem (PT) that the assumption of the existence of certain “Fermat’s triples” (FT), as integer solutions of Fermat's Last Theorem, can not be possible in Z due to some fatal inconsistencies for the PT and found by means the PT. Some equations in Zp were shown for n=3, 4 and 5
{"title":"ELEMENTARY PROOFS FOR THE FERMAT'S LAST THEOREM IN Z USING ONE TRICK FOR A RESTRICTION IN ZP","authors":"SERGEY P. KLYKOV","doi":"10.46939/j.sci.arts-23.3-a03","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a03","url":null,"abstract":"An elementary and short proof of Fermat's Last Theorem (FLT) is presented, which is understandable even to a student. Perhaps this proof is precisely the lost proof, which could similar to own Fermat's proof. Restricting some coefficients of polynomials by value 0, except for the first term, allows to prove the Fermat's Last Theorem for domain Z, since in this case the canonical representation of p-adic numbers is limited to only one digit in the corresponding p-ary system. It was shown within the framework of elementary algebra, which corresponds to the Pythagorean theorem (PT) that the assumption of the existence of certain “Fermat’s triples” (FT), as integer solutions of Fermat's Last Theorem, can not be possible in Z due to some fatal inconsistencies for the PT and found by means the PT. Some equations in Zp were shown for n=3, 4 and 5","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.46939/j.sci.arts-23.3-b02
MIHAELA MIRELA BRATU, SEMAGHIUL BIRGHILA, MARIUS DANIEL RADU, ANTOANELA POPESCU
This study aims to highlight the extraction capacity of natural wine for polyphenolic acids from sage (Salvia officinalis L.) and rosemary (Rosmarinus officinalis L.). At the same time, the dynamics of the extraction process of polyphenolic acids, the evolution of the anthocyanin content and the antioxidant activity of the extract over 21 days were monitored. Observation of the extraction dynamics of polyphenolic acids from the selected plants showed that the wine has moderate extractive qualities for this class of compounds. Thus, some phenolic acids of major interest for antioxidant activity were less extracted (gallic acid, 3-methyl gallic acid, and chlorogenic acid) while other acids (p-coumaric acid, ferulic acid) showed better extraction. Also, during extraction, degradation of anthocyanin pigments in wine could be observed, which reduces the therapeutic value of extracts prepared by traditional methods. The chemical changes that occurred during the extraction process showed that a reduction of the extraction period to 8-11 days would be suitable for this type of preparations; thus, the development of degradation processes of polyphenolic compounds can be avoided.
{"title":"OBSERVATION OF THE EXTRACTION DYNAMICS OF POLYPHENOLIC COMPOUNDS FROM ROSMARINUS OFFICINALIS AND SALVIA OFFICINALIS IN NATURAL WINE","authors":"MIHAELA MIRELA BRATU, SEMAGHIUL BIRGHILA, MARIUS DANIEL RADU, ANTOANELA POPESCU","doi":"10.46939/j.sci.arts-23.3-b02","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-b02","url":null,"abstract":"This study aims to highlight the extraction capacity of natural wine for polyphenolic acids from sage (Salvia officinalis L.) and rosemary (Rosmarinus officinalis L.). At the same time, the dynamics of the extraction process of polyphenolic acids, the evolution of the anthocyanin content and the antioxidant activity of the extract over 21 days were monitored. Observation of the extraction dynamics of polyphenolic acids from the selected plants showed that the wine has moderate extractive qualities for this class of compounds. Thus, some phenolic acids of major interest for antioxidant activity were less extracted (gallic acid, 3-methyl gallic acid, and chlorogenic acid) while other acids (p-coumaric acid, ferulic acid) showed better extraction. Also, during extraction, degradation of anthocyanin pigments in wine could be observed, which reduces the therapeutic value of extracts prepared by traditional methods. The chemical changes that occurred during the extraction process showed that a reduction of the extraction period to 8-11 days would be suitable for this type of preparations; thus, the development of degradation processes of polyphenolic compounds can be avoided.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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