A Main Class of Integral Inequalities with Applications. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Masjed-Jamei, Mohammad; Omey, Edward; Dragomir, Sever S.
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 4(2016)
• Page Start: 569
• Page End: 584
• Publication Date: 2016-07-03
• Subjects: Ostrowski inequality -- Ostrowski-Grüss inequality -- integral transforms -- error bounds -- quadrature rules; 46BXX -- 26D10 -- 26D15 -- 26D20; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1188427
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In this paper, we define some integral transforms and obtain suitable bounds for them in order to introduce a main class of integral inequalities including Ostrowski and Ostrowski-Grüss inequalities and various kinds of new integral inequalities. In this sense, we also introduce a three point quadrature formula and obtain its error bounds.