Results 101 to 110 of about 4,997 (220)
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
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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.
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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
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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
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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
Determination of Novel Estimations for the Slater Difference and Applications
Complexity, Volume 2024, Issue 1, 2024.The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan +6 more
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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator
Fractal and Fractional, 2019 In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid +2 more
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Sharp Integral Inequalities of the Hermite–Hadamard Type
Journal of Approximation Theory, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guessab, Allal, Schmeisser, Gerhard
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Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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Hermite-Hadamard type inequalities for subadditive functions
AIMS Mathematics, 2020 In this paper, we will consider subadditive functions that take an important place not only in mathematics but also in physics and many other fields of science. Subadditive functions are very important also in economics and, specifically, in financial mathematics where subadditive discount functions describe certain behaviors in intertemporal choice ...
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