Jensen's type inequalities for the finite Hilbert transform of convex functions

Authors

  • Silvestru Sever Dragomir Victoria University Melbourne, Australia

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.10

Keywords:

Finite Hilbert Transform, Convex functions, Inequalities

Abstract

In this paper, we obtain some new inequalities for the nite Hilbert transform of convex functions by the use of Jensen's integral inequality. Applications for exponential function are provided as well.

Author Biography

Silvestru Sever Dragomir, Victoria University Melbourne, Australia

Mathematics, College of Engineering & Science

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Published

2021-01-22

Issue

Section

MATHEMATICS