Journal•ISSN: 1443-5756
Journal of Inequalities in Pure & Applied Mathematics
About: Journal of Inequalities in Pure & Applied Mathematics is an academic journal. The journal publishes majorly in the area(s): Rearrangement inequality & Kantorovich inequality. Over the lifetime, 433 publications have been published receiving 6610 citations.
Topics: Rearrangement inequality, Kantorovich inequality, Log sum inequality, Ky Fan inequality, Convex function
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379 citations
Journal Article•
TL;DR: In this article, the authors obtained inequalities for the Lambert W function W(x), defined by W (x)e W(X) = x for x e 1, and upper and lower bounds for the hyper power function h(x) = X x x x.
Abstract: Lambert W function, hyperpower function, special function, inequality. Abstract: In this note, we obtain inequalities for the Lambert W function W(x), defined by W(x)e W(x) = x for x e 1 . Also, we get upper and lower bounds for the hyperpower function h(x) = x x x. ..
172 citations
Journal Article•
TL;DR: In this article, the authors introduced the functional |a2a4 − a3|, which is a subclass of normalised analytic univalent functions defined by f(z) = z + ∑∞ n=2anz n and satisfy Re{f ′(z)} > 0 wherez ∈ D = {z : |z| < 1}.
Abstract: LetR denote the subclass of normalised analytic univalent functions f defined by f(z) = z + ∑∞ n=2anz n and satisfy Re{f ′(z)} > 0 wherez ∈ D = {z : |z| < 1}. The object of the present paper is to introduce the functional |a2a4 − a3|. Forf ∈ R, we give sharp upper bound for |a2a4 − a3|.
158 citations
Journal Article•
TL;DR: In this article, the authors give different sufficient conditions for inequality (∫ b a f(x)dx )β ≥ ∫ b ∫ f(X)dx to hold.
Abstract: In this article we give different sufficient conditions for inequality (∫ b a f(x)dx )β ≥ ∫ b a f(x)dx to hold.
129 citations
Journal Article•
TL;DR: In this article, the authors deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives and most of the inequalities presented are of comparison or Gronwall type and, more specifically, of Pach- patte type.
Abstract: In the study of dynamic equations on time scales we deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives. Most of the inequalities presented are of comparison or Gronwall type and, more specifically, of Pach- patte type.
118 citations