Dunkl–williams Inequalities for Integrable Functions in Banach Space

Abstract

In this paper, a generalisation of the Dunkl-Williams inequality is established for strongly integrable functions with values in a Banach space. Some applications are also presented.2010 Mathematics subject classification: primary 26D15; secondary 46B20, 46B99.

Refinements of the Dragomir inequality for integrable functions in a normed linear space

“…Motivated by inequalities (1.2), in our paper [1], a generalisation of inequalities (1.3) is established for strongly integrable functions with values in a Banach space. In this paper, we shall further consider the continuous versions of the Dragomir inequalities (1.4) in a normed linear space.…”