Several improvements of Mitrinovic-Adamovic and Lazarevics inequalities with applications to the sharpening of Wilker-type inequalities

DOI10.22436/jnsa.009.04.31zbMath1331.26023OpenAlexW2782858465MaRDI QIDQ3465312

Yong-Ping Deng, Huan-Peng Yue, Yu-Ming Chu, Shan-He Wu

Publication date: 21 January 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss4_1755--1765_Several_improvements_of_Mitrinovic-.pdf

zbMATH Keywords

hyperbolic functionsimprovementWilker-type inequalitiesLazarević's inequalityMitrinović-Adamović's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (5)

A two-point-Padé-approximant-based method for bounding some trigonometric functions ⋮ Refining trigonometric inequalities by using Padé approximant ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions ⋮ Generalized Wilker-type inequalities with two parameters ⋮ A family of Wilker's inequalities in two parameters and its applications

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