Geodesic
Harmonic trigonometrically convexity
Filomat, Tome 37 (2023) no. 23, p. 8029

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DOI

In this study, we introduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is harmonic trigonometrically convex.
DOI : 10.2298/FIL2323029K
Classification : 26A51, 26D10, 26D15
Keywords: Convex function, trigonometrically convex function, harmonic trigonometrically convexity, Hermite-Hadamard inequality 
Huriye Kadakal. Harmonic trigonometrically convexity. Filomat, Tome 37 (2023) no. 23, p. 8029 . doi: 10.2298/FIL2323029K
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     title = {Harmonic trigonometrically convexity},
     journal = {Filomat},
     pages = {8029 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323029K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323029K/}
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