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On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications.

Authors :
Chasreechai, Saowaluck
Ali, Muhammad Aamir
Naowarat, Surapol
Sitthiwirattham, Thanin
Nonlaopon, Kamsing
Source :
AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 2, p3885-3896, 12p
Publication Year :
2023

Abstract

In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
2
Database :
Complementary Index
Journal :
AIMS Mathematics (2473-6988)
Publication Type :
Academic Journal
Accession number :
161538022
Full Text :
https://doi.org/10.3934/math.2023193