Results 1 to 10 of about 211,767 (331)

New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
doaj   +2 more sources

INEQUALITIES CONCERNING B-OPERATORS

open access: diamondIssues of Analysis, 2016
Summary: Let \(\mathcal{P}_{n}\) be the class of polynomials of degree at most \(n\). Rahman introduced the class \(\mathcal {B}_{n}\) of operators \(B\) that map \(\mathcal {P}_{n}\) into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
W. M. Shah, W. M. Shah, A. Liman
openalex   +4 more sources

Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]

open access: yesHeliyon
Various differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
doaj   +2 more sources

On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator [PDF]

open access: yesHeliyon
Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type.
Akhtar Abbas   +3 more
doaj   +2 more sources

Some generalized fractional integral inequalities with nonsingular function as a kernel

open access: yesAIMS Mathematics, 2021
Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis.
Shahid Mubeen   +5 more
doaj   +1 more source

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

open access: yesAxioms, 2021
In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane   +3 more
doaj   +1 more source

JENSEN'S OPERATOR INEQUALITY [PDF]

open access: yesBulletin of the London Mathematical Society, 2003
12 ...
Hansen, Frank, Pedersen, Gert K.
openaire   +3 more sources

Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces

open access: yesAnnales Mathematicae Silesianae, 2021
For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),\mathcal{D}\mathcal{L}og\left( {w,\mu } \right)\left( T \right): = \int_0 ...
Dragomir Silvestru Sever
doaj   +1 more source

Operator entropy inequalities [PDF]

open access: yesColloquium Mathematicum, 2013
11 pages; to appear in Colloq ...
Morassaei, A.   +2 more
openaire   +2 more sources

Some complementary inequalities to Jensen’s operator inequality [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method.
Jadranka Mićić   +2 more
openaire   +5 more sources

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