Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

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

doi:10.2478/amsil-2022-0019

Annales Mathematicae Silesianae (Mar 2023)

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

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

Affiliations

Bagul Yogesh J.: Department of Mathematics, K. K. M. College, Manwath Dist: Parbhani(M.S.)–431505, India
Thool Sumedh B.: Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati(M. S.)–444604, India
Chesneau Christophe: LMNO, University of Caen-Normandie, Caen, France
Dhaigude Ramkrishna M.: Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati(M. S.)–444604, India

DOI: https://doi.org/10.2478/amsil-2022-0019
Journal volume & issue: Vol. 37, no. 1
pp. 1 – 15

Abstract

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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.

Published in Annales Mathematicae Silesianae

ISSN: 2391-4238 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMSIL

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