@article {doi:10.22034/kjm.2015.12284,
author = {Silvestru S. Dragomir},
title = {A Survey on Ostrowski Type Inequalities Related to Pompeiu's Mean Value Theorem},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {1-35},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12284},
abstract = {In this paper we survey some recent results obtained by the author related to Pompeiu's mean value theorem and inequality. Natural applications to Ostrowski type inequalities that play an important role in Numerical Analysis, Approximation Theory, Probability Theory & Statistics, Information Theory and other fields, are given as well.},
keywords = {Ostrowski inequality,Pompeiu's mean inequality,integral inequalities,special means},
URL = {
http://www.kjm-math.org/article_12284.html
},
eprint = {
http://www.kjm-math.org/article__af45b6a7333b951a57b6824037c7f2f112284.pdf
}
}
@article {doi:10.22034/kjm.2015.12285,
author = {Warren B. Moors},
title = {Invariant Means on CHART Groups},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {36-44},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12285},
abstract = {The purpose of this paper is to give a stream-lined proof of the existence and uniqueness of a right-invariant mean on a CHART group. A CHART group is a slight generalisation of a compact topological group. The existence of an invariant mean on a CHART group can be used to prove Furstenberg's fixed point theorem.},
keywords = {Topological group,invariant mean,Furstenberg's xed point theorem},
URL = {
http://www.kjm-math.org/article_12285.html
},
eprint = {
http://www.kjm-math.org/article__6bc81ee57016ba8697ba66be2d2c580812285.pdf
}
}
@article {doi:10.22034/kjm.2015.12286,
author = {Josip Pečarič,Anamarija Perušić,Ksenija Smoljak},
title = {Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {45-61},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12286},
abstract = {In this paper generalizations of Steffensen's inequality using Abel- Gontscharoff interpolating polynomial are obtained. Moreover, in a special case generalizations by Abel-Gontscharoffpolynomial reduce to known weaker conditions for Steffensen's inequality. Furthermore, Ostrowski type inequalities related to obtained generalizations are given.},
keywords = {Steffensen's inequality,Abel-Gontscharoff polynomial,Ostrowski type inequality,n_exponential convexity},
URL = {
http://www.kjm-math.org/article_12286.html
},
eprint = {
http://www.kjm-math.org/article__591d273366dd3ffe68de2b826be60f2e12286.pdf
}
}
@article {doi:10.22034/kjm.2015.12287,
author = {Erhan Set,M. Emin Özdemir,M. Zeki Sarikaya,Filiz Karakoç},
title = {Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {62-70},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12287},
abstract = {In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s−convex in the second sense and concave.},
keywords = {Hermite-Hadamard type inequality,s−convex function,RiemannLiouville fractional integral},
URL = {
http://www.kjm-math.org/article_12287.html
},
eprint = {
http://www.kjm-math.org/article__66450089acf1d99d142618724dd09acc12287.pdf
}
}
@article {doi:10.22034/kjm.2015.12288,
author = {Ajay K. Sharma,Ambika Bhat},
title = {Approximation Numbers of Composition Operators on Weighted Hardy Spaces},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {71-81},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12288},
abstract = {In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ:},
keywords = {Composition operator,weighted Hardy space,approximation number},
URL = {
http://www.kjm-math.org/article_12288.html
},
eprint = {
http://www.kjm-math.org/article__4a020ff86c83907640bf945ed0fd20ac12288.pdf
}
}
@article {doi:10.22034/kjm.2015.12289,
author = {Ljubiša D.R. Kočinac},
title = {Star Selection Principles: A Survey},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {82-106},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12289},
abstract = {We review selected results obtained in the last fifteen years on star selection principles in topology, an important subfield of the field of selection principles theory. The results which we discuss concern also uniform structures and, in particular, topological groups and their generalizations.},
keywords = {Star selection principles,ASSM,selectively (a),uniform selection principles},
URL = {
http://www.kjm-math.org/article_12289.html
},
eprint = {
http://www.kjm-math.org/article__aaa2b7fd611237872880bdae2d7d649d12289.pdf
}
}
@article {doi:10.22034/kjm.2015.12290,
author = {Ali Reza Khoddami},
title = {Strongly Zeo-product Preserving Maps on Normed Algebras Induced by a Bounded Linear Functional},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {107-114},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12290},
abstract = {We introduce the notions of strongly zero-product (strongly Jordan zero-product) preserving maps on normed algebras. These notions are generalization of the concepts of zero-product and Jordan zero-product preserving maps. Also for a non-zero vector space V and for a non-zero linear functional f on V, we equip V with a multiplication, converting V into an associative algebra, denoted by Vf . We characterize the zero-product (Jordan zero-product) preserving maps on Vf . Also we characterize the strongly zero-product (strongly Jordan zero-product) preserving maps on Vf in the case where V is a normed vector space and f is a continuous linear functional on V. Finally, for polynomials in one variable x over Vf , we shall show that each polynomial of precise degree n ≥ 0, with non-zero constant term has precisely n-zeros (counted with multiplicity) in Vf . While, polynomials of precise degree n ≥ 2, with zero constant term have infinitely many zeros when dim(V) ≥2. This shows that the algebraic fundamental theorem for polynomial equations over an arbitrary algebra, is not valid in general.},
keywords = {(Jordan) zero-product preserving map,strongly (Jordan) zeroproduct preserving map,Arens product,polynomial equation},
URL = {
http://www.kjm-math.org/article_12290.html
},
eprint = {
http://www.kjm-math.org/article__710c39152e24a4b3dbb3fcee4026509412290.pdf
}
}
@article {doi:10.22034/kjm.2015.12291,
author = {Mevlüt Tunç,Ebru Yüksel},
title = {Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions},
journal = {Khayyam Journal of Mathematics},
volume = {1},
number = {1},
pages = {115-124},
year = {2015},
publisher = {Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2015.12291},
abstract = {In this paper, the authors establish some Hermite-Hadamard type inequalities by using elementary inequalities for functions whose first derivative absolute values are α-, m-, (α, m)-logarithmically convex },
keywords = {α-, m-,(α,m)-logarithmically convex, Hadamard's inequality,Hölder's inequality, power mean inequality, Cauchy's inequality},
URL = {
http://www.kjm-math.org/article_12291.html
},
eprint = {
http://www.kjm-math.org/article__b2574f963404b7c8037da1340966068e12291.pdf
}
}