Results 21 to 30 of about 2,843 (179)

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

Annals of Mathematics and Physics
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad, Zhiyue Zhang, Mateen Abdul, Budak Hüseyin, Kashuri Artion   +4 more
semanticscholar   +1 more source

Quantum integral inequalities on finite intervals

, 2014
In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Grüss, and Grüss-Čebyšev integral inequalities ...
J. Tariboon, S. Ntouyas
semanticscholar   +1 more source

On Bellman‐Golubov theorems for the Riemann‐Liouville operators

Journal of Function Spaces, Volume 7, Issue 3, Page 289-300, 2009., 2009
Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
wiley   +1 more source

Inequalities of Hermite-Hadamard Type for HA-Convex Functions

Moroccan 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

Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Moroccan Journal of Pure and Applied Analysis, 2022
Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖
Anastassiou George A.
doaj   +1 more source

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

, 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 monotonicity property involving the generalized elliptic integral of the first kind

, 2017
In this paper, we prove that the function r → Y (r) = Ka(r) sin(πa)r′2 log(eR(a)/2/r′) − 1 r′2 is strictly increasing from (0,1) onto (π/[R(a)sin(πa)]−1,a(1−a)) for all a∈ (0,1/2] , where r′ = √ 1− r2 , Ka(r) is the generalized elliptic integral of the ...
Zhen-Hang Yang, Y. Chu
semanticscholar   +1 more source

Some New Integral Inequalities via Strong Convexity

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
Markos Fisseha Yimer, Zhihua Zhang
wiley   +1 more source

An estimate for the best constant in the Lp‐Wirtinger inequality with weights

Journal of Function Spaces, Volume 6, Issue 1, Page 1-16, 2008., 2008
We prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.
Raffaella Giova, Carlo Sbordone
wiley   +1 more source

Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory

, 2018
By using real analysis technique and the method of weight functions, the necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and the best constant factors are obtained, and ...
Yong Hong, B. He, Bicheng Yang
semanticscholar   +1 more source