The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and together with an integral identity, some new Simpson-type inequalities have been obtained for trigonometric convex functions. We also give some applications for special means.
Convex function trigonometrically convex function Simpson type inequality Hölder inequality Power mean inequality.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | December 29, 2020 |
Submission Date | June 9, 2020 |
Acceptance Date | September 18, 2020 |
Published in Issue | Year 2020Volume: 41 Issue: 4 |