Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

Yogesh J. Bagul; Sumedh B. Thool; Christophe Chesneau; Ramkrishna M. Dhaigude

doi:10.2478/amsil-2022-0019

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Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

Annales Mathematicae Silesianae

Volume 37 (2023): Issue 1 (March 2023)

By: Yogesh J. Bagul, Sumedh B. Thool , Christophe Chesneau and Ramkrishna M. Dhaigude

Open Access

|Nov 2022

Abstract

Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended. Hyperbolic versions are also established, along with extensions.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2022-0019 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 1 - 15

Submitted on: Mar 25, 2022

Accepted on: Nov 2, 2022

Published on: Nov 23, 2022

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

trigonometric-exponential,

hyperbolic-exponential,

Mitrinović-Adamović inequality,

Lazarević inequality,

Iyengar-Madhava Rao-Nanjudiah inequality

Related subjects:

Mathematics,

General mathematics

© 2022 Yogesh J. Bagul, Sumedh B. Thool, Christophe Chesneau, Ramkrishna M. Dhaigude, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (2023): Issue 1 (March 2023)