Geodesic
On Simpson's and Newton's type inequalities in multiplicative fractional calculus
Filomat, Tome 37 (2023) no. 30, p. 10133

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we prove two multiplicative fractional integral identities involving multiplicative differentiable functions. Then, with the help of newly established identities, we establish multiplicative fractional versions of Simpson's and Newton's formulas type inequalities for differentiable multiplicative convex functions. It is also shown that the newly proved inequalities are extensions of some existing inequalities within the literature.
DOI : 10.2298/FIL2330133A
Classification : 26D10, 26A51, 26D15
Keywords: Simpson’s and Newton’s inequalities, Multiplicative calculus, Convex and multiplicative convex functions 
Muhammad Aamir Ali. On Simpson's and Newton's type inequalities in multiplicative fractional calculus. Filomat, Tome 37 (2023) no. 30, p. 10133 . doi: 10.2298/FIL2330133A
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     author = {Muhammad Aamir Ali},
     title = {On {Simpson's} and {Newton's} type inequalities in multiplicative fractional calculus},
     journal = {Filomat},
     pages = {10133 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330133A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330133A/}
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