Wu, Shan-He; Srivastava, H. M. A weighted and exponential generalization of Wilker’s inequality and its applications. (English) Zbl 1128.26017 Integral Transforms Spec. Funct. 18, No. 8, 529-535 (2007). Summary: The authors first prove a weighted and exponential generalization of Wilker’s inequality. The main result presented here is then applied with a view to derive an improved version of the Sándor-Bencze inequality. Some other closely-related inequalities are also considered. Cited in 1 ReviewCited in 38 Documents MSC: 26D15 Inequalities for sums, series and integrals 26D05 Inequalities for trigonometric functions and polynomials 33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) Keywords:weighted inequalities PDF BibTeX XML Cite \textit{S.-H. Wu} and \textit{H. M. Srivastava}, Integral Transforms Spec. Funct. 18, No. 8, 529--535 (2007; Zbl 1128.26017) Full Text: DOI References: [1] Wilker J. B., American Mathematical Monthly 96 (1989) [2] DOI: 10.2307/2325035 [3] Guo B.-N., Inequality Theory and Applications 2 pp 109– (2003) [4] Guo B.-N., RGMIA Research Report Collection 3 (2000) [5] Guo B.-N., Mathematical Inequalities and Applications 6 pp 19– (2003) · Zbl 1040.26006 [6] Qi F., RGMIA Research Report Collection 9 (2006) [7] DOI: 10.2307/4145099 · Zbl 1187.26010 [8] Zhu L., Mathematical Inequalities and Applications 8 pp 749– (2005) · Zbl 1084.26008 [9] Huygens C., Oeuvres Completes 1 (1888) [10] Sándor J., RGMIA Research Report Collection 8 (2005) [11] Hardy G. H., Inequalities, 2. ed. (1952) [12] Mitrinović D. S., Analytic Inequalities (1970) · Zbl 0199.38101 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.