Pub Date : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a15
L. Ciurdariu
The aim of this article is to give new generalized Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral for functions whose absolute values of third derivatives are s-convex in the second sense. In order to do that an integral identity for three times differentiable mapping involving fractional integral operators is established. Several consequences are then presented in some special cases.
{"title":"SOME HERMITE-HADAMARD TYPE INEQUALITIES INVOLVING FRACTIONAL INTEGRAL OPERATORS","authors":"L. Ciurdariu","doi":"10.46939/j.sci.arts-22.4-a15","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a15","url":null,"abstract":"The aim of this article is to give new generalized Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral for functions whose absolute values of third derivatives are s-convex in the second sense. In order to do that an integral identity for three times differentiable mapping involving fractional integral operators is established. Several consequences are then presented in some special cases.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45978936","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-b01
M. Hussein, H. M. Mahmoud, Atef A. Brania
The present research was designed to characterize the main components of ancient Egyptian wall reliefs of Meir rock tombs at Assiut of Egypt using severalµ-destructive analytical methods. The microscopic characterization included optical examination on painted surfaces and petrographic examination on thin sections of rock fractions. The morphology of pigments and their chemical structure were investigated by scanning electron microscopy and energy dispersive X-ray spectrometry (SEM-EDX). Fourier transform infrared spectroscopy (FTIR) was used for the investigation of the molecular composition of the render layer and the blue pigment. The mineralogical composition by X-ray diffractometry (XRD) helped to study the stone, underlying preparation layer, and some pigments. The results showed that the petrographic features of the rock samples are based mainly on fine calcite grains. The identified pigments were Egyptian blue (synthetic cuprorivaite), red ochre (iron oxides and clay minerals), and carbon black. While for the green colour, a mixture of Egyptian blue and yellow ochre was created. Since the materials used in the abovementioned tombs were never been previously analyzed, this research will be a valuable start for a future complex study related to painting materials used in the Meir necropolis of ancient Egypt
{"title":"CHARACTERIZING THE PAINTED WALL RELIEFS FROM THE ANCIENT EGYPTIAN ROCK TOMBS OF MEIR AT ASSIUT, EGYPT","authors":"M. Hussein, H. M. Mahmoud, Atef A. Brania","doi":"10.46939/j.sci.arts-22.4-b01","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-b01","url":null,"abstract":"The present research was designed to characterize the main components of ancient Egyptian wall reliefs of Meir rock tombs at Assiut of Egypt using severalµ-destructive analytical methods. The microscopic characterization included optical examination on painted surfaces and petrographic examination on thin sections of rock fractions. The morphology of pigments and their chemical structure were investigated by scanning electron microscopy and energy dispersive X-ray spectrometry (SEM-EDX). Fourier transform infrared spectroscopy (FTIR) was used for the investigation of the molecular composition of the render layer and the blue pigment. The mineralogical composition by X-ray diffractometry (XRD) helped to study the stone, underlying preparation layer, and some pigments. The results showed that the petrographic features of the rock samples are based mainly on fine calcite grains. The identified pigments were Egyptian blue (synthetic cuprorivaite), red ochre (iron oxides and clay minerals), and carbon black. While for the green colour, a mixture of Egyptian blue and yellow ochre was created. Since the materials used in the abovementioned tombs were never been previously analyzed, this research will be a valuable start for a future complex study related to painting materials used in the Meir necropolis of ancient Egypt","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43256743","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a01
Beddani Abdallah
In this paper, we present a method for finding the zero of the sum of finite family of maximal monotone operators on real Hilbert spaces. In the case where the number of maximal monotone operators is three, we define a function such that its fixed points are solutions of our problem. Some illustrative examples are given at the end of this paper.
{"title":"FINDING A ZERO OF THE SUMS OF THREE MAXIMAL MONOTONE OPERATORS","authors":"Beddani Abdallah","doi":"10.46939/j.sci.arts-22.4-a01","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a01","url":null,"abstract":"In this paper, we present a method for finding the zero of the sum of finite family of maximal monotone operators on real Hilbert spaces. In the case where the number of maximal monotone operators is three, we define a function such that its fixed points are solutions of our problem. Some illustrative examples are given at the end of this paper.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44602106","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a02
Abdullah Aydin, Muhammed Çinar
In this paper, we introduce statistical bounded sets on topological vector space. Also, we give the three notions of bounded operators from topological vector spaces to ordered topological vector spaces. Moreover, we show some relations between these operators and order bounded operators. Also, we give some algebraic properties of these operators with respect to the uniform convergence topology.
{"title":"StatisticalLY τ-Bounded Operators on Ordered Topological Vector Spaces","authors":"Abdullah Aydin, Muhammed Çinar","doi":"10.46939/j.sci.arts-22.4-a02","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a02","url":null,"abstract":"In this paper, we introduce statistical bounded sets on topological vector space. Also, we give the three notions of bounded operators from topological vector spaces to ordered topological vector spaces. Moreover, we show some relations between these operators and order bounded operators. Also, we give some algebraic properties of these operators with respect to the uniform convergence topology.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49279037","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a13
Tasawar Abbas, Qazi Mahmood Ul Hassan, A. Hussain, Maheen Fatima, Bilal Ahmad
We inspect the compaction structure in a class of nonlinear dispersive conditions in this article. The compaction sort of lone waves free of exponential tails and width self-sufficient of abundance is formally created. We further set up particular examples of answers for the defocusing parts of these models.
{"title":"COMPACTION IN A CLASS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS","authors":"Tasawar Abbas, Qazi Mahmood Ul Hassan, A. Hussain, Maheen Fatima, Bilal Ahmad","doi":"10.46939/j.sci.arts-22.4-a13","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a13","url":null,"abstract":"We inspect the compaction structure in a class of nonlinear dispersive conditions in this article. The compaction sort of lone waves free of exponential tails and width self-sufficient of abundance is formally created. We further set up particular examples of answers for the defocusing parts of these models.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46020671","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a12
Yanlin Li, Ayşe Yavuz, M. Erdoğdu
This paper is investigated geometry of vector fields along spacelike curve with timelike normal vector by using anholonomic coordinates. Derivative formulas of Frenet Serret frame of the curve are stated which includes eight parameters. Surfaces with vanishing abnormality of normal direction in Minkowski space are examined. Intrinsic geometric properties of these spacelike surfaces are investigated. Finally, the relations between spacelike surfaces with vanishing abnormality of normal direction and NLS, Heisenberg spin equation are investigated as applications.
{"title":"SURFACES WITH VANISHING ABNORMALITY OF NORMAL DIRECTION IN MINKOWSKI SPACE","authors":"Yanlin Li, Ayşe Yavuz, M. Erdoğdu","doi":"10.46939/j.sci.arts-22.4-a12","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a12","url":null,"abstract":"This paper is investigated geometry of vector fields along spacelike curve with timelike normal vector by using anholonomic coordinates. Derivative formulas of Frenet Serret frame of the curve are stated which includes eight parameters. Surfaces with vanishing abnormality of normal direction in Minkowski space are examined. Intrinsic geometric properties of these spacelike surfaces are investigated. Finally, the relations between spacelike surfaces with vanishing abnormality of normal direction and NLS, Heisenberg spin equation are investigated as applications.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43802050","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a07
Abdessamad Dib, Mohamed Mehdi Hamri, A. Rabhi
The main objective of this paper is to estimate non-parametrically the quantiles of a conditional distribution based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random variables. First of all, a kernel type estimator for the conditional cumulative distribution function (cond-cdf) is introduced. Afterwards, we give an estimation of the quantiles by inverting this estimated cond-cdf, the asymptotic properties are stated when the observations are linked with a single-index structure. Finally, a simulation study is carried out to evaluate the performance of this estimate.
{"title":"ASYMPTOTIC NORMALITY SINGLE FUNCTIONAL INDEX QUANTILE REGRESSION UNDER RANDOMLY CENSORED DATA","authors":"Abdessamad Dib, Mohamed Mehdi Hamri, A. Rabhi","doi":"10.46939/j.sci.arts-22.4-a07","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a07","url":null,"abstract":"The main objective of this paper is to estimate non-parametrically the quantiles of a conditional distribution based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random variables. First of all, a kernel type estimator for the conditional cumulative distribution function (cond-cdf) is introduced. Afterwards, we give an estimation of the quantiles by inverting this estimated cond-cdf, the asymptotic properties are stated when the observations are linked with a single-index structure. Finally, a simulation study is carried out to evaluate the performance of this estimate.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46552443","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a08
D. Ünal, Y. Ünlütürk
In this study, spinor representations of the curves on surfaces have been expressed via B-Darboux frame in Euclidean space E^3. The relation between Darboux and B-Darboux frame has been established according to their spinor formulations. Moreover, all these spinor characterizations have been interpreted in the meaning of Darboux frame (via the curvatures) in Euclidean 3-space. Finally, an application has been presented about the characterizations of the relations between the B-Darboux frame and the spinors.
{"title":"SPINOR DESCRIPTION OF B-DARBOUX EQUATIONS","authors":"D. Ünal, Y. Ünlütürk","doi":"10.46939/j.sci.arts-22.4-a08","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a08","url":null,"abstract":"In this study, spinor representations of the curves on surfaces have been expressed via B-Darboux frame in Euclidean space E^3. The relation between Darboux and B-Darboux frame has been established according to their spinor formulations. Moreover, all these spinor characterizations have been interpreted in the meaning of Darboux frame (via the curvatures) in Euclidean 3-space. Finally, an application has been presented about the characterizations of the relations between the B-Darboux frame and the spinors.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41440072","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a09
K. Djeffal
The objective of this paper is to prove the existence, non-existence and the sign of convex and convex-concave solutions of the third-order non-linear differential equation f^'''+ff^''+βf^' (f^'-1)=0, satisfying the boundary conditions f(0)=a∈R, f^' (0)=b<0 and〖 f〗^'→λ as t→+∞ where λ∈{0,1} and β<0. The problematic arises in the study of the Mixed Convection Boundary Layer flow over a permeable vertical surface embedded in a Porous Medium according to the mixed convection parameter b<0, the permeable parameter a∈R and the temperature parameter β<0.
{"title":"NEW RESULTS ON A MIXED CONVECTION BOUNDARY LAYER FLOW OVER A PERMEABLE VERTICAL SURFACE EMBEDDED IN A POROUS MEDIUM","authors":"K. Djeffal","doi":"10.46939/j.sci.arts-22.4-a09","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a09","url":null,"abstract":"The objective of this paper is to prove the existence, non-existence and the sign of convex and convex-concave solutions of the third-order non-linear differential equation f^'''+ff^''+βf^' (f^'-1)=0, satisfying the boundary conditions f(0)=a∈R, f^' (0)=b<0 and〖 f〗^'→λ as t→+∞ where λ∈{0,1} and β<0. The problematic arises in the study of the Mixed Convection Boundary Layer flow over a permeable vertical surface embedded in a Porous Medium according to the mixed convection parameter b<0, the permeable parameter a∈R and the temperature parameter β<0.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49489579","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 : 2022-12-30DOI: 10.46939/j.sci.arts-22.4-a11
Khalef Bouich, Abderrahmane Smail
In this paper, by using the concepts of pseudoinverse matrix combining with coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a nonlinear higher-order boundary value problem at resonance case in R^n . An illustrative example is presented at the end of the paper to illustrate the validity of our results
{"title":"UTILIZING PSEUDOINVERSE MATRIX TO SOLVE AN NONLINEAR BOUNDARY VALUE PROBLEM","authors":"Khalef Bouich, Abderrahmane Smail","doi":"10.46939/j.sci.arts-22.4-a11","DOIUrl":"https://doi.org/10.46939/j.sci.arts-22.4-a11","url":null,"abstract":"In this paper, by using the concepts of pseudoinverse matrix combining with coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a nonlinear higher-order boundary value problem at resonance case in R^n . An illustrative example is presented at the end of the paper to illustrate the validity of our results","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44390571","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：