Better Approaches for n -Times Differentiable Convex Functions

Praveen Agarwal, Mahir Kadakal, İmdat İşcan and Yu-Ming Chu
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Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, Rajasthan, India
Mahir Kadakal: Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey
İmdat İşcan: Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey
Yu-Ming Chu: Department of Mathematics, Huzhou University, Huzhou 313000, China

Mathematics, 2020, vol. 8, issue 6, 1-11

Abstract: In this work, by using an integral identity together with the Hölder–??can inequality we establish several new inequalities for n -times differentiable convex and concave mappings. Furthermore, various applications for some special means as arithmetic, geometric, and logarithmic are given.

Keywords: convex function; Hölder–??can integral inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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