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Functional inequalities for modified Struve functions

2013/01/23 by Árpád Baricz, Tibor K. Pogány
Mathematics · #Analytic and geometric function theory #Complement (music) #Convexity #Counterexample #Functional Equations Stability Results #Generalization #Mathematical Inequalities and Applications #Monotonic function #Power (physics) #Struve function #Upper and lower bounds #math.CA #msc:33C10 #msc:39B62

paper · pdf · doi:10.1017/s0308210512001370

published as Proceedings of the Royal Society of Edinburgh Section A Mathematics 144(5) (2014) 891-904 · 9 pages

arxiv created 2013/01/23 · openalex publication_date 2014/10/01 · arxiv updated 2014/10/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations