Pub Date : 2019-06-01DOI: 10.15393/J3.ART.2019.5790
Rostamian Delavar, S. S. Dragomir, M. Sen
Summary: A characterization of h -convex function via Hermite-Hadamard inequality related to the h convex functions is investigated. In fact it is determined that under what conditions a function is h -convex, if it satisfies the h -convex version of Hermite-Hadamard inequality.
{"title":"A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality","authors":"Rostamian Delavar, S. S. Dragomir, M. Sen","doi":"10.15393/J3.ART.2019.5790","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.5790","url":null,"abstract":"Summary: A characterization of h -convex function via Hermite-Hadamard inequality related to the h convex functions is investigated. In fact it is determined that under what conditions a function is h -convex, if it satisfies the h -convex version of Hermite-Hadamard inequality.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"4 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89304722","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 : 2019-05-08DOI: 10.15393/J3.ART.2019.6270
A. Zherdev
We consider a value range ${g(i,T)}$ of solutions to the chordal Loewner equation with the restriction $|lambda(t)| le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.
考虑弦性Loewner方程解的取值范围${g(i,T)}$，并对驱动函数施加$|lambda(t)| le c$限制。我们使用可达集方法和庞特里亚金极大值原理。
{"title":"Value range of solutions to the chordal Loewner equation with restriction on the driving function","authors":"A. Zherdev","doi":"10.15393/J3.ART.2019.6270","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.6270","url":null,"abstract":"We consider a value range ${g(i,T)}$ of solutions to the chordal Loewner equation with the restriction $|lambda(t)| le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"46 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87532386","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 : 2019-02-01DOI: 10.15393/J3.ART.2019.4610
A. Kirillov
{"title":"The method of normal local stabilization","authors":"A. Kirillov","doi":"10.15393/J3.ART.2019.4610","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.4610","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"102 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80618256","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 : 2019-02-01DOI: 10.15393/J3.ART.2019.5150
R. Gadzhimirzaev
{"title":"Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions","authors":"R. Gadzhimirzaev","doi":"10.15393/J3.ART.2019.5150","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.5150","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"482 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75196213","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 : 2019-02-01DOI: 10.15393/J3.ART.2019.5452
A. Bakhtin, I. Denega
{"title":"Sharp estimates of products of inner radii of non-overlapping domains in the complex plane","authors":"A. Bakhtin, I. Denega","doi":"10.15393/J3.ART.2019.5452","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.5452","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"23 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89075279","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 : 2019-02-01DOI: 10.15393/J3.ART.2019.5870
B. Kats, S. R. Mironova, A. Y. Pogodina
{"title":"Cauchy projectors on non-smooth and non-rectifiable curves","authors":"B. Kats, S. R. Mironova, A. Y. Pogodina","doi":"10.15393/J3.ART.2019.5870","DOIUrl":"https://doi.org/10.15393/J3.ART.2019.5870","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75075837","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 : 2018-12-01DOI: 10.15393/J3.ART.2018.4650
D. Jin, J. Lee
In this paper, we study generic lightlike submanifolds of an indefinite Kaehler manifold M . We provide several new results on such a generic lightlike submanifold M equipped with an induced structure tensor F on M induced by the almost complex structure tensor J of M . AMS Subject Classification: 53C25, 53C40, 53C50
{"title":"Generic lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection","authors":"D. Jin, J. Lee","doi":"10.15393/J3.ART.2018.4650","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.4650","url":null,"abstract":"In this paper, we study generic lightlike submanifolds of an indefinite Kaehler manifold M . We provide several new results on such a generic lightlike submanifold M equipped with an induced structure tensor F on M induced by the almost complex structure tensor J of M . AMS Subject Classification: 53C25, 53C40, 53C50","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"73 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86262116","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 : 2018-12-01DOI: 10.15393/J3.ART.2018.4990
A. Baskakov, V. E. Strukov, I. Strukova
. We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces. The main results of the article are connected to harmonic analysis of those functions. We give four definitions of an almost periodic at infinity function from a homogeneous space and prove them to be equivalent. We also introduce the concept of a Fourier series with slowly varying at infinity coef-ficients (neither necessarily constant nor necessarily having a limit at infinity). It is proved that the Fourier coefficients of almost periodic at infinity function from a homogeneous space (not necessarily continuous) can be chosen continuous. Moreover, they can be extended on C to bounded entire functions of exponential type. Besides, we prove the summability of Fourier series by the method of Bochner-Fejer. The results were received with essential use of isometric representations and Banach modules theory.
{"title":"On the almost periodic at infinity functions from homogeneous spaces","authors":"A. Baskakov, V. E. Strukov, I. Strukova","doi":"10.15393/J3.ART.2018.4990","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.4990","url":null,"abstract":". We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces. The main results of the article are connected to harmonic analysis of those functions. We give four definitions of an almost periodic at infinity function from a homogeneous space and prove them to be equivalent. We also introduce the concept of a Fourier series with slowly varying at infinity coef-ficients (neither necessarily constant nor necessarily having a limit at infinity). It is proved that the Fourier coefficients of almost periodic at infinity function from a homogeneous space (not necessarily continuous) can be chosen continuous. Moreover, they can be extended on C to bounded entire functions of exponential type. Besides, we prove the summability of Fourier series by the method of Bochner-Fejer. The results were received with essential use of isometric representations and Banach modules theory.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"131 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78166626","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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