Results 31 to 40 of about 26,475,004 (287)
Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means
Journal of Inequalities and Applications, 2010 We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for ...
N. Latif +2 more
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On new general inequalities for s-convex functions and their applications
Journal of Inequalities and Applications, 2023 AbstractIn this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally,
YILDIZ, Çetin +2 more
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On s-Convexity of Dual Simpson Type Integral Inequalities
Symmetry, 2023 Integral inequalities are a powerful tool for estimating errors of quadrature formulas. In this study, some symmetric dual Simpson type integral inequalities for the classes of s-convex, bounded and Lipschitzian functions are proposed. The obtained results are based on a new identity and the use of some standard techniques such as Hölder as well as ...
Tarek Chiheb +4 more
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Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
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Mathematics, 2019 In this article, we establish new Hermite−Hadamard-type inequalities via Riemann−Liouville integrals of a function ψ taking its value in a fractal subset of R and possessing an appropriate generalized s-convexity property. It
Ohud Almutairi, Adem Kılıçman
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Some Modulus and Normal Structure in Banach Space
Journal of Inequalities and Applications, 2009 We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
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s-convex set and s-convex functions on Heisenberg group
Open Journal of Mathematical AnalysisIn this paper, we give the definitions of s-convex set and s-convex function on Heisenberg group. And some inequalities of Jensen’s type for this class of mappings are pointed out.
Chuanyang Li, Peibiao Zhao
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The Ostrowski inequality for $ s $-convex functions in the third sense
AIMS Mathematics, 2022 <abstract><p>In this paper, the Ostrowski inequality for $ s $-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose derivatives are $ s $-convex in the third sense.
Gültekin Tınaztepe +3 more
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Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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Coordinate strongly s-convex functions and related results [PDF]
Journal of Mathematical Inequalities, 2020 Summary: In this article, we give non-trivial examples of coordinates-convex functions which are not \(s\)-convex functions. Also, we present a new class of coordinate strongly \(s\)-convex functions. We prove that every strongly \(s\)-convex function is coordinate strongly \(s\)-convex function but the converse is not generally true.
Ullah, Syed Zaheer +3 more
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