Results 1 to 10 of about 206,233 (165)

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

Journal 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

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

Heliyon
Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type.
Akhtar Abbas, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +2 more sources

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

Heliyon
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 Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

Axioms, 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, Asha B. Nale, Satish K. Panchal, Christophe Chesneau   +3 more
doaj   +1 more source

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

Annales 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

JENSEN'S OPERATOR INEQUALITY [PDF]

Bulletin of the London Mathematical Society, 2003
12 ...
Hansen, Frank, Pedersen, Gert K.
openaire   +3 more sources

Operator entropy inequalities [PDF]

Colloquium Mathematicum, 2013
11 pages; to appear in Colloq ...
Morassaei, A., Mirzapour, F., Moslehian, M. S.   +2 more
openaire   +2 more sources

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

Journal 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, Hamid Reza Moradi, Shigeru Furuichi   +2 more
openaire   +5 more sources

Sherman's operator inequality [PDF]

Journal of Mathematical Inequalities, 2021
In this paper we deal with Sherman's inequality and its complementary inequalities for operator convex functions, whose arguments are the bounded self-adjoint operators from C*-algebra on a Hilbert spaces and positive linear mappings between C*-algebras. We introduce the so called Sherman's operator and study its properties.
Bradanović S.I., Mićić J., Pečarić J.   +2 more
openaire   +4 more sources

Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps

Axioms, 2023
We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj   +1 more source