Results 71 to 80 of about 349,949 (184)

Estimates of Fractional Integral Operators on Variable Exponent Lebesgue Spaces

open access: yesJournal of Function Spaces, 2016
By some estimates for the variable fractional maximal operator, the authors prove that the fractional integral operator is bounded and satisfies the weak-type inequality on variable exponent Lebesgue spaces.
Canqin Tang, Qing Wu, Jingshi Xu
doaj   +1 more source

Corrigendum to “Moore-Penrose Inverse and Operator Inequalities” Extracta Mathematicae 30 (2015), 29 – 39

open access: yesExtracta Mathematicae, 2017
We correct a mistake which affect our main results, namely the proof of Lemma 1. The main results of the article remain unchanged.
Ameur Seddik
doaj  

An integral operator inequality with applications

open access: yesJournal of Inequalities and Applications, 1999
Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds ...
Everitt WN, Littlejohn LL, Chisholm RS
doaj  

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan   +4 more
doaj   +1 more source

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators

open access: yesNonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul   +2 more
doaj   +1 more source

Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces

open access: yesExtracta Mathematicae, 2022
For a continuous and positive function w (λ), λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform D (w, µ) (T ) := ∫0∞w (λ) (λ + T ) −1 dµ (λ) , where the integral is assumed to exist for T a positive operator on a ...
S.S. Dragomir
doaj  

NUMERICAL RESULT FOR VARIATIONAL INEQUALITY PROBLEMS WITH EQUALITY CONSTRAINT

open access: yesASEAN Journal on Science and Technology for Development, 2017
In this paper we present some numerical results for illustrating a theoret- ical results obtained in our investigation in the field of variational inequality problems with constraint in the form of operator equation involving monotone operator.
Pham Van Loi
doaj   +1 more source

Operator inequalities via the triangle inequality

open access: yesJournal of Mathematical Inequalities
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
Sababheh, Mohammad   +2 more
openaire   +2 more sources

Reverses of operator Aczél inequality

open access: yesComptes Rendus. Mathématique, 2018
In this paper, we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of the operator Aczél inequality dealing with the weighted geometric mean.
Kaleibary, Venus, Furuichi, Shigeru
openaire   +3 more sources

Gaussian processes with linear operator inequality constraints

open access: yes, 2019
This paper presents an approach for constrained Gaussian Process (GP) regression where we assume that a set of linear transformations of the process are bounded.
Agrell, Christian
core  

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