Results 11 to 20 of about 460 (101)
A new generalized refinements of Young's inequality and applications
Journal of Mathematical Inequalities, 2021 In this work, by the weighted arithmetic-geometric mean inequality, we show if a,b > 0 and 0 ν 1. Then for all positive integer m, we have ( aν b1−ν )m + r 0 ( (a+b) −2m(ab) 2 ) +rm [( (ab) m 4 −b 2 )2 χ(0, 2 ](ν)+ ( (ab) m 4 −a 2 )2 χ( 2 ,1](ν) ] ( νa ...
M. Ighachane, M. Akkouchi
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
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A sharpened version of Aczél inequality by abstract convexity
Mathematical Inequalities & Applications, 2021 . In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract ...
R. Tinaztepe, G. Tinaztepe
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An extension of the Hermite-Hadamard inequality for a power of a convex function
Open Mathematics, 2023 In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [f(x)]n{[f\left(x)]}^{n}. Some related inequalities are also introduced.
Sayyari Yamin +3 more
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Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal of Kufa for Mathematics and Computer, 2018 We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
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Acta Universitatis Sapientiae: Mathematica, 2020 In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well.
Dragomir Silvestru Sever
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Applied Mathematics in Science and Engineering, 2023 Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan +4 more
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, 2021 In this paper, we will prove a new discrete weighted Hardy’s type inequality with different powers. Next, we will apply this inequality to prove that the forward and backward propagation properties (self-improving properties) for the general discrete ...
S. Saker, Jifeng Chu
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A new generalization of two refined Young inequalities and applications
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
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Inequalities for the generalized trigonometric and hyperbolic functions
Open Mathematics, 2020 In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan +3 more
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