Geodesic
On n-fractional polynomial P-functions
Filomat, Tome 37 (2023) no. 21, p. 7029

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DOI

In this paper, we introduce and study the concept of n-fractional polynomial P-functions and establish Hermite-Hadamard’s inequalities for this type of functions. In addition, we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is n-fractional polynomial P-functions by using Hölder and power-mean integral inequalities. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral the function in the trapezoidal formula and for some inequalities related to special means of real numbers.
DOI : 10.2298/FIL2321029N
Classification : 26A51, 26D10, 26D15
Keywords: n-fractional polynomial convexity, n-fractional polynomial P-functions, Hermite-Hadamard inequality 
Selim Numan. On n-fractional polynomial P-functions. Filomat, Tome 37 (2023) no. 21, p. 7029 . doi: 10.2298/FIL2321029N
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     title = {On n-fractional polynomial {P-functions}},
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     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321029N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321029N/}
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