Results 21 to 30 of about 1,439 (151)

Some generalized Hermite–Hadamard–Fejér inequality for convex functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in ...
Miguel Vivas-Cortez   +2 more
doaj   +1 more source

Application of Functionals in Creating Inequalities

open access: yesJournal of Function Spaces, 2016
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality.
Zlatko Pavić   +2 more
doaj   +1 more source

On Hilbert's Inequality for Double Series and Its Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function u(x) and a parameter λ.
Zhou Yu, Gao Mingzhe
doaj   +1 more source

Fourier theory and C*-algebras [PDF]

open access: yes, 2016
We discuss a number of results concerning the Fourier series of elements in reduced twisted group C∗-algebras of discrete groups, and, more generally, in reduced crossed products associated to twisted actions of discrete groups on unital C∗-algebras. A
Conti, Roberto, Erik, Bédos
core   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

open access: yesMathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu   +3 more
doaj   +1 more source

SVAG: Stochastic Variance Adjusted Gradient Descent and Biased Stochastic Gradients

open access: yes, 2020
We examine biased gradient updates in variance reduced stochastic gradient methods. For this purpose we introduce SVAG, a SAG/SAGA-like method with adjustable bias.
Giselsson, Pontus, Morin, Martin
core   +1 more source

Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation [PDF]

open access: yes, 2013
A problem of iterative approximation is investigated for a nonlinear operator equation regularized by the Tikhonov method. The Levenberg-Marquardt method, its modified analogue, and the steepest descent method are used.
Vasin, V.
core   +1 more source

Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions

open access: yesFractal and Fractional, 2021
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan   +4 more
doaj   +1 more source

A note on the norm convergence by Vilenkin-Fej\'er means

open access: yes, 2014
The main aim of this paper is to find necessary and sufficient conditions for the convergence of Fej\'er means in terms of the modulus of continuity on the Hardy spaces $H_{p},$ when ...
Tephnadze, George
core   +1 more source

Inequalities of Fejer Type Related to Generalized Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2018
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative
S. Mohammadi Aslani   +2 more
doaj   +2 more sources

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