Results 71 to 80 of about 904 (160)

Some new inequalities via s-convex functions on time scales

Acta Universitatis Sapientiae: Mathematica, 2021
In this paper, we prove some new integral inequalities for s-convex function on time scale. We give results for the case when time scale is ℝ and when time scale is ℕ.
Mehreen Naila, Anwar Matloob
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On strong delta-convexity and Hermite-Hadamard type inequalities for delta-convex functions of higher order

, 2015
In our previous paper [15], using s -convex stochastic ordering [4], we investigate Hermite-Hadamard-Fejer type inequalities in the case of higher order convex functions.
T. Rajba
semanticscholar   +1 more source

New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial

Mathematical Inequalities & Applications, 2019
The Jensen’s inequality has tremendous implications in many fields of modern analysis. It helps computing useful upper bounds for several entropic measures used in information theory.
S. Butt, N. Mehmood, Đ. Pečarić, J. Pečarić   +3 more
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Schur-power convexity of integral mean for convex functions on the coordinates

Open Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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SOME NEW CLASSES OF CONVEX FUNCTIONS AND INEQUALITIES

, 2018
In this article, we introduce some new class of convex functions involving two arbitrary auxiliary functions h1;h2 W I ! R; which are called .h1;h2/-convex functions. We derive some new integral inequalities for these classes of convex functions. We also
M. U. Awan, M. Noor, K. Noor, Awais Gul Khan   +3 more
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Fractional Hermite-Hadamard inequalities for (α,m)-logarithmically convex functions

Journal of Inequalities and Applications, 2013
By means of two fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable (α,m)-logarithmically convex functions ...
J. Deng, Jinrong Wang
semanticscholar   +1 more source

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
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Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex

Journal of Inequalities and Applications, 2013
In the paper, the authors establish some new inequalities of Hermite-Hadamard type for functions whose third derivatives are convex. MSC: 26D15, 26A51, 41A55.
Ling Chun, Feng Qi (祁锋)
semanticscholar   +1 more source

On a generalization of the Opial inequality

Demonstratio Mathematica
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.   +3 more
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On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions

Demonstratio Mathematica
For μ∈C1(I)\mu \in {C}^{1}\left(I), μ>0\mu \gt 0, and λ∈C(I)\lambda \in C\left(I), where II is an open interval of R{\mathbb{R}}, we consider the set of functions f∈C2(I)f\in {C}^{2}\left(I) satisfying the second-order differential inequality ddtμdfdt+λf≥
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
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