The Berezin symbol à A of an operator A on the reproducing kernel Hilbert space H(Ω) over some set with the reproducing kernel k is defined by ... In this paper, we obtain some new inequalities for Berezin symbols of operators on reproducing kernel Hilbert spaces by using classical Hermite-Hadamard inequality and convex functions. Some other related questions are also discussed. [ABSTRACT FROM AUTHOR]
The main purpose of this paper is to show that Cheney-Sharma Chlodovsky operators preserve properties of the function of modulus of continuity and Lipschitz condition of a given Lipschitz continuous function f: Furthermore, we give a result for these operators when f is a convex function. [ABSTRACT FROM AUTHOR]
In this paper we prove the Hadamard and the Fejér-Hadamard inequalities for convex functions via Caputo fractional derivatives. We also derive some related inequalities for n-time differentiable functions f(n) such that |f(n)|q; q ≥ 1 is convex, by using Caputo fractional derivatives. [ABSTRACT FROM AUTHOR]
MORADI, HAMID REZA, OMIDVAR, MOHSEN ERFANIAN, DRAGOMIR, SILVESTRU SEVER, and ANWARY, MOHAMMAD KAZEM
Subjects
LINEAR operators, POSITIVE operators, CONVEX functions, MATHEMATICS, ALGEBRA
Abstract
In this paper we present some new operator inequality for convex functions. We have obtained a number of Jensen's type inequalities for convex and operator convex functions of self-adjoint operators for positive linear maps. Some results are exemplified for power and logarithmic functions. [ABSTRACT FROM AUTHOR]
In the present article, our aim is to investigate the problem of obtaining upper bounds for |T2(2)|, |T2(3)|, |T3(2)| and |T3(1)|, which are special cases of the symmetric Toeplitz determinant for functions belonging to the M(λ; n) subclass. [ABSTRACT FROM AUTHOR]