Results 51 to 60 of about 2,843 (179)

On Minkowski's inequality and its application

open access: yesJournal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

open access: yesOpen Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira   +3 more
doaj   +1 more source

A Note on Bessel’s Inequality [PDF]

open access: yes, 2001
A monotonicity property of Bessel’s inequality in inner product spaces is ...
Dragomir, Sever S
core  

Improved Jensen's inequality

open access: yes, 2017
In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar   +1 more source

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo   +2 more
wiley   +1 more source

On improvements of the Rozanova's inequality

open access: yesJournal of Inequalities and Applications, 2011
In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]

open access: yes, 2002
A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core  

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

open access: yes, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source

Ostrowski type fractional integral inequalities for MT-convex functions

open access: yes, 2015
Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan   +4 more
wiley   +1 more source

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