Results 31 to 40 of about 2,650 (162)

A more generalized Gronwall‐like integral inequality with applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 927-934, 2003., 2003
This paper deals with a new Gronwall‐like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall‐like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations.
Qinghua Ma, Lokenath Debnath
wiley   +1 more source

A Generalisation of an Ostrowski Inequality in Inner Product Spaces [PDF]

open access: yes, 2003
A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are ...
Dragomir, Sever S., Gosa, Anca C.
core   +2 more sources

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah   +2 more
wiley   +1 more source

On an inequality suggested by Littlewood

open access: yesJournal of Inequalities and Applications, 2011
We study an inequality suggested by Littlewood, our result refines a result of Bennett. 2000 Mathematics Subject Classification. Primary 26D15.
Gao Peng
doaj  

An extended differential form of Hilbert’s inequality

open access: yesJournal of King Saud University: Science, 2019
In this paper we introduce the extention of the differential form of Helbert’s integral inequality, and the reverse form of it. 2000 Mathematics Subject Classification: 26D15, Keywords and phrases: Hilbert’s integral inequality, Hölder inequality, Hardy
Nizar Kh. Al-Oushoush
doaj  

Ostrowski and generalized trapezoid type inequalities on time scales

open access: yesJournal of King Saud University: Science, 2020
In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g:[0,1]→[0,1].
Adnan Tuna, Eze R. Nwaeze
doaj  

Inequalities of Hermite-Hadamard Type for HA-Convex Functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Dragomir S. S.
doaj   +1 more source

Bounds of operators on the Hilbert sequence space

open access: yesConcrete Operators, 2020
The author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous ...
Roopaei Hadi
doaj   +1 more source

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 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  

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