Better approaches for n-times differentiable convex functions

Praveen Agarwal; Mahir Kadakal; Imdat Işcan; Yu Ming Chu

doi:10.3390/math8060950

Better approaches for n-times differentiable convex functions

Praveen Agarwal
, Mahir Kadakal
, Imdat Işcan
, Yu Ming Chu

International College of Engineering
International Center for Basic and Applied Sciences
Harish Chandra Research Institute
Netaji Subhas University of Technology
Giresun Universitesi
Huzhou University
Changsha University of Science and Technology

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

In this work, by using an integral identity together with the Holder-I scan 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.

Original language	English
Article number	950
Journal	Mathematics
Volume	8
Issue number	6
DOIs	https://doi.org/10.3390/math8060950
State	Published - 1 Jun 2020
Externally published	Yes

Keywords

Convex function
Hölder-Işcan integral inequality

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title = "Better approaches for n-times differentiable convex functions",

abstract = "In this work, by using an integral identity together with the Holder-I scan 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, H{\"o}lder-I{\c s}can integral inequality",

author = "Praveen Agarwal and Mahir Kadakal and Imdat I{\c s}can and Chu, \{Yu Ming\}",

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AU - Agarwal, Praveen

AU - Kadakal, Mahir

AU - Işcan, Imdat

AU - Chu, Yu Ming

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Y1 - 2020/6/1

N2 - In this work, by using an integral identity together with the Holder-I scan 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.

AB - In this work, by using an integral identity together with the Holder-I scan 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.

KW - Convex function

KW - Hölder-Işcan integral inequality

UR - https://www.scopus.com/pages/publications/85087572731

U2 - 10.3390/math8060950

DO - 10.3390/math8060950

M3 - Article

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SN - 2227-7390

VL - 8

JO - Mathematics

JF - Mathematics

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Better approaches for n-times differentiable convex functions

Abstract

Keywords

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