Results 31 to 40 of about 3,465 (150)

A theorem concerning Fourier transforms: A survey

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

On Upper Estimations of Hermite–Hadamard Inequalities

open access: yesMathematics
Convex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa   +4 more
wiley   +1 more source

Matrix Hermite-Hadamard type inequalities [PDF]

open access: yes, 2013
We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
core  

Some new inequalities of Hermite-Hadamard's type

open access: yes, 2010
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Saglam, A.   +2 more
core   +1 more source

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed   +4 more
wiley   +1 more source

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

open access: yes, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core  

Better Approximation of Integral Form of Midpoint Formula Using p‐Convex Function via Katugampola Fractional Integrals

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, new estimations of the integral form of the midpoint formula are derived for p‐convex functions via Katugampola fractional integrals. A specific identity for differentiable functions is established, which extends and strengthens the integral midpoint inequality through innovative estimations.
Muhammad Latif   +5 more
wiley   +1 more source

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

open access: yesFractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom   +3 more
doaj   +1 more source

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