Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Generalizations of Opial’s Inequalities for Riemann-Stieltjes Integral with Applications

Version 1 : Received: 22 June 2018 / Approved: 22 June 2018 / Online: 22 June 2018 (08:08:21 CEST)

How to cite: Dragomir, S.S. Generalizations of Opial’s Inequalities for Riemann-Stieltjes Integral with Applications. Preprints 2018, 2018060352. https://doi.org/10.20944/preprints201806.0352.v1 Dragomir, S.S. Generalizations of Opial’s Inequalities for Riemann-Stieltjes Integral with Applications. Preprints 2018, 2018060352. https://doi.org/10.20944/preprints201806.0352.v1

Abstract

In this paper we establish some generalizations of Opial’s inequal- ities for Riemann-Stieltjes integral and for two functions. Applications related to trapezoid and Grüss’ ’type inequalities are also given.

Keywords

Opial’s inequality; Grüss’ inequality; Trapezoid inequality

Subject

Computer Science and Mathematics, Analysis

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