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

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 gi...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 2; pp. 3885 - 3896
Main Authors Chasreechai, Saowaluck, Ali, Muhammad Aamir, Naowarat, Surapol, Sitthiwirattham, Thanin, Nonlaopon, Kamsing
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
convex functions
multiplicative calculus
newton's inequalities
simpson's inequalities
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ISSN2473-6988
2473-6988
DOI10.3934/math.2023193

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023193