Geodesic
Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions
Filomat, Tome 37 (2023) no. 28, p. 9777

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DOI

In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively convex functions. In addition, we obtained new multiplicative integral-based inequalities for the quotient and product of exponential type multiplicatively convex functions and convex functions. The results in this study could potentially inspire further research in various scientific fields.
DOI : 10.2298/FIL2328777O
Classification : 26D15, 26D20, 26D07
Keywords: Hermite-Hadamard inequality, exponential type multiplicatively convex functions, multiplicative calculus 
Serap Özcan. Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions. Filomat, Tome 37 (2023) no. 28, p. 9777 . doi: 10.2298/FIL2328777O
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     author = {Serap \"Ozcan},
     title = {Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions},
     journal = {Filomat},
     pages = {9777 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328777O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328777O/}
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