Results 31 to 40 of about 38,693 (157)
Heliyon, 2020 In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt +5 more
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SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS
Проблемы анализа, 2020 In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
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Note on Generalization of Power Means and Their Inequalities
Journal of Mathematical Analysis and Applications, 1999 New proofs of two results of the reviewer [J. Math. Anal. Appl. 161, No. 2, 395--404 (1991; Zbl 0753.26009)] are given.
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Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions
AxiomsIn this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex.
Loredana Ciurdariu, Eugenia Grecu
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Arab Journal of Mathematical Sciences, 2015 In this paper some new Hadamard-type inequalities for functions whose derivatives in absolute values are convex are established. Some applications to special means of real numbers are given. Finally, we also give some applications of our obtained results
Muhammad Amer Latif
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On new Simpson’s type ınequalities for trigonometrically convex functions with applications
Cumhuriyet Science Journal, 2020 The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal +3 more
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Axioms, 2021 Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field of fractional analysis has led
Erhan Set +4 more
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A power mean inequality for the Grötzsch ring function [PDF]
Mathematical Inequalities & Applications, 2011 The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
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Journal of Inequalities and Applications, 2021 We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
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Generalization of the power means and their inequalities
Journal of Mathematical Analysis and Applications, 1991 The paper contains a generalization of the power means which includes a class of positive nonlinear functionals. For these new means the author obtains generalizations of the fundamental mean inequality, Hölder's, Minkowski's and related inequalities.
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