Geodesic
Some new midpoint and trapezoidal type inequalities in multiplicative calculus with applications
Filomat, Tome 37 (2023) no. 20, p. 6665

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DOI

In this paper, we use multiplicative twice differentiable functions and establish two new multiplicative integral identities. Then, we use convexity for multiplicative twice differentiable functions and establish some new midpoint and trapezoidal type inequalities in the framework of multiplicative calculus. Finally, we give some applications to special means of real numbers to make these inequalities more interesting for the readers.
DOI : 10.2298/FIL2320665X
Classification : 26D10, 26A51, 26D15
Keywords: Hermite–Hadamard inequality, Multiplicative calculus, Convex functions 
Jianqiang Xie; Muhammad Aamir Ali; Thanin Sitthiwirattham. Some new midpoint and trapezoidal type inequalities in multiplicative calculus with applications. Filomat, Tome 37 (2023) no. 20, p. 6665 . doi: 10.2298/FIL2320665X
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     title = {Some new midpoint and trapezoidal type inequalities in multiplicative calculus with applications},
     journal = {Filomat},
     pages = {6665 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320665X},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320665X/}
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