Refinements of some classical inequalities involving sinc and hyperbolic sinc functions



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.


Keywords

trigonometric-exponential; hyperbolic-exponential; Mitrinović-Adamović inequality; Lazarević inequality; Iyengar-Madhava Rao-Nanjudiah inequality

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Published : 2022-11-23


BagulY. J., ThoolS. B., ChesneauC., & DhaigudeR. M. (2022). Refinements of some classical inequalities involving sinc and hyperbolic sinc functions. Annales Mathematicae Silesianae, 37(1), 1-15. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14911

Yogesh J. Bagul 
Department of Mathematics, K. K. M. College, Manwath  India
Sumedh B. Thool  sumedhmaths@gmail.com
Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati  India
https://orcid.org/0000-0001-5667-0431
Christophe Chesneau 
LMNO, University of Caen-Normandie  France
Ramkrishna M. Dhaigude 
Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati  India



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