Open AccessA MAIN CLASS OF INTEGRAL INEQUALITIES WITH APPLICATIONS
Author(s) -
Mohammad MasjedJamei,
Edward Omey,
Sever S Dragomir
Publication year - 2016
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2016.1188427
Subject(s) - mathematics , quadrature (astronomy) , inequality , class (philosophy) , daniell integral , order (exchange) , pure mathematics , integral equation , mathematical analysis , calculus (dental) , fourier integral operator , computer science , physics , medicine , dentistry , artificial intelligence , optics , economics , finance
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-Gr¨uss inequalities and various kinds of new integral inequalities. In this sense, we also introduce a three point quadrature formula and obtain its error bounds.