A novel approach to the Jensen gap through Taylor's theorem-Reference-Cited by-同舟云学术

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A novel approach to the Jensen gap through Taylor's theorem

Published:2020-10-14 Issue:5 Volume:44 Page:3324-3333
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Adil Khan Muhammad¹^ORCID,Khan Shahid¹^ORCID,Ullah Inam¹,Ali Khan Khuram²^ORCID,Chu Yu‐Ming³⁴^ORCID

Affiliation:

1. Department of Mathematics University of Peshawar Peshawar Pakistan

2. Department of Mathematics University of Sargodha Sargodha Pakistan

3. Department of Mathematics Huzhou University Huzhou China

4. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.6944

Reference25 articles.

1. Refinements of Jensen’s and McShane’s inequalities with applications

2. New estimates for generalized Shannon and Zipf-Mandelbrot entropies via convexity results

3. Optimal convex combinations bounds of centroidal and harmonic means for logarithmic and identric means;Chu Y‐M;Bull Iranian Math Soc,2013

4. Converses of the Jensen inequality derived from the Green functions with applications in information theory

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1. Demonstration of the strength of strong convexity via Jensen's gap;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-04-06

2. Generalization of Montgomery identity via Taylor formula on time scales;Journal of Inequalities and Applications;2022-02-14

3. On the generalized power-type Toader mean;Journal of Mathematical Inequalities;2022

4. New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function;Journal of Function Spaces;2021-10-25

5. A new approach for the derivation of bounds for the Jensen difference;Mathematical Methods in the Applied Sciences;2021-09-09

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