Exponential Pompeiu's Type Inequalities with Applications to Ostrowski's Inequality S. S. Dragomir Received: December 18, 2013; Accepted: February 12, 2014 Abstract. In this paper, some exponential Pompeiu's type inequalities for complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type inequalities. Keywords: Ostrowski inequality; Pompeiu's mean inequality; Integral inequalities; Exponetial function; Integral means. AMS Subject classification: Primary: 25D10, 25D10 Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |