Results 111 to 120 of about 45,267 (268)
Journal of Function Spaces, Volume 2024, Issue 1, 2024.The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu +8 more
wiley +1 more source
The converse of the Hermite–Hadamard inequality on simplices
Expositiones Mathematicae, 2012 AbstractWe prove that the Hermite–Hadamard inequality on simplices characterizes convex functions under some assumptions on the measure.
Flavia-Corina Mitroi +1 more
openaire +2 more sources
New Inequalities and Applications [PDF]
arXiv, 2019 This paper presents some new inequalities, the most important of which is the inequality given in Theorem 2.1. It can solve a class of inequalities by a unified method. An important application of the inequality given in Theorem 2.1 is to derive another new general form of inequality.
arxiv
, 2018 The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir +3 more
core +1 more source
New Developments of Hermite–Hadamard Type Inequalities via s‐Convexity and Fractional Integrals
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s‐convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are s‐convex ...
Khuram Ali Khan +4 more
wiley +1 more source
Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]
arXiv, 2012 In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
arxiv
Inclusion and Neighborhood on a Multivalent q‐Symmetric Function with Poisson Distribution Operators
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q‐symmetric starlike and q‐symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q‐analogue Salagean integral operator, the p‐valent convergence polynomial was introduced. Furthermore, a
Ebrahim Amini +3 more
wiley +1 more source
The Jensen and Hermite-Hadamard inequalities [PDF]
, 2022 The aim of this presentation is to show the Jensen and Hermite-Hadamard inequalities for convex functions of several variables as general as possible. In this regard, we rely on the decomposition of a nonempty convex set C in the n-dimensional real space.
openaire +1 more source
Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Journal of Function Spaces, Volume 2024, Issue 1, 2024.This article’s objective is to introduce a new double inequality based on the Jensen–Mercer (JM) inequality, known as the Hermite–Hadamard–Mercer inequality. We use the (JM) inequality to build a number of generalized trapezoid‐type inequalities.
Maryam Gharamah Ali Alshehri +4 more
wiley +1 more source
Several applications of Cartwright-Field's inequality [PDF]
arXiv, 2011 In this paper we present several applications of Cartwright-Field's inequality. Among these we found Young's inequality, Bernoulli's inequality, the inequality between the weighted power means, H\"{o}lder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.
arxiv