Volterra Type Operator On the convex functions
نویسندگان
چکیده
منابع مشابه
HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR EXTENDED s-CONVEX FUNCTIONS AND OPERATOR EXTENDED s-CONVEX FUNCTIONS ON THE CO-ORDINATES
In the paper, authors propose the concepts of operator extended s-convex function and operator extended s-convex on the co-ordinates, and establish some new HermiteHadamard type inequalities for operator extended s-convex functions and operator extended s-convex functions on the co-ordinates.
متن کاملThe Hermite-Hadamard type inequalities for operator s-convex functions
In this paper, we introduce operator s-convex functions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.
متن کاملA type of Volterra operator
For p ≥ 1, taking the p-th root of this sup yields a norm and with this norm H(D) is a Banach space. When p = 2, this is Hilbert space and identifying the Taylor coefficients of such an f with a sequence we obtain an isometry from H(D) onto the classical sequence space l. In addition, there is a natural identification of functions in H(D) with functions in a closed subspace of L(T) by way of th...
متن کاملOn Fejér Type Inequalities for (η1,η2)-Convex Functions
In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...
متن کاملHermite-Hadamard's type inequalities for operator convex functions
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we give a simple proof and a new generalization of the Hermite-Hadamard inequality for operator convex functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2017
ISSN: 1303-5010
DOI: 10.15672/hjms.2017.446