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Functional inequalities for modified Struve functions

Published online by Cambridge University Press:  03 October 2014

Árpád Baricz  and
Tibor K. Pogány
Árpád Baricz
Affiliation:
Department of Economics, Babeş-Bolyai University, 400591 Cluj-Napoca, Romania Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, 1034 Budapest, Hungary, ([email protected])
Tibor K. Pogány
Affiliation:
Faculty of Maritime Studies, University of Rijeka, 51000 Rijeka, Croatia Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, 1034 Budapest, Hungary, ([email protected])
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Abstract

By using a general result on the monotonicity of quotients of power series, our aim is to prove some monotonicity and convexity results for the modified Struve functions. Moreover, as consequences of the above-mentioned results, we present some functional inequalities as well as lower and upper bounds for modified Struve functions. Our main results complement and improve the 1998 results of Joshi and Nalwaya.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 5 , October 2014 , pp. 891 - 904
Copyright
Copyright © Royal Society of Edinburgh 2014 

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