Refinements of Some Recent Inequalities for Certain Special Functions

Abstract

The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no. 2, 124–129] for the incomplete gamma function, Polygamma functions, Exponential integral function, Abramowitz function, Hurwitz-Lerch zeta function and for the normalizing constant of the generalized inverse Gaussian distribution and the Remainder of the Binet’s first formula for ln Γ(x).

Keywords

• Hölder’s inequalities
• incomplete Gamma function
• exponential integral function
• Hurwitz-Lerch zeta function
• Abramowitz function
• Binet’s first formula
• 26D07
• 26D15
• 33B15
• 33B20