Inequalities via Holder’s Inequality

Piyush Kumar Bhandari, Sushil Kumar Bissu

Abstract


By using a new form of the Holder’s inequality, we establish inequalities for some special functions.


Keywords


A new form of Holder’s inequality, Incomplete Gamma function, Struve function, Exponential integral function, Hurwitz-Lerch zeta function.

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References


M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, Inc., New York, 1965.

B. Jorgensen, Statistical Properties of Generalized Inverse Gaussian Distributions, in: Lecture Notes in Statistics, Vol. 9, Springer-Verlag, New York, 1982.

C. Mortici, Turán-type inequalities for the gamma and polygamma functions, Acta Univ. Apulensis. 23 (2010), 117–121.

A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics, Birkhäuser, Basel, Boston, 1988.


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