On new Simpson’s type ınequalities for trigonometrically convex functions with applications

On new Simpson’s type ınequalities for trigonometrically convex functions with applications

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 Simp...

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Bibliographic Details
Published in:Cumhuriyet Science Journal Vol. 41; no. 4; pp. 862 - 874
Main Authors: DEMİR, Şenol, MADEN, Selahattin, İŞCAN, İmdat, KADAKAL, Mahir
Format: Journal Article
Language:English
Published: Cumhuriyet Üniversitesi 29-12-2020
Subjects:
Astronomi & Uzay
Bilgisayar Bilimleri
Bilim-Teknoloji
Biyoloji
Enerji
Fizik
Kimya
Matematik
Mühendislik
Sivas
Türkiye
Power mean inequality
Simpson type inequality
Trigonometrically convex function
Convex function
Hölder inequality
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Summary: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.
ISSN:2587-2680
2587-246X
DOI:10.17776/csj.749571