A weighted and exponential generalization of Wilker’s inequality and its applications. (English) Zbl 1128.26017

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.


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)
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