Harmonic trigonometrically convexity-Reference-Cited by-同舟云学术

Harmonic trigonometrically convexity

Published:2023 Issue:23 Volume:37 Page:8029-8038
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kadakal Huriye¹

Affiliation:

1. Bayburt University, Faculty of Education, Department of Primary Education, Baberti Campus, Bayburt, Türkiye

Abstract

In this study, weintroduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is harmonic trigonometrically convex.

Publisher

National Library of Serbia

Reference20 articles.

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4. Dragomir, S.S., Pečarić, J. and Persson, L.E., Some inequalities of Hadamard Type, Soochow Journal of Mathematics, 21 (3)(2001), pp. 335-341.

5. Hadamard, J., Étude sur les propriétés des fonctions entières en particulier d’une fonction considérée par Riemann, J. Math. Pures Appl. 58(1893), 171-215.

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