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- Title
CONSTRUCTION OF A NEW CLASS OF FUNCTIONS WITH THEIR SOME PROPERTIES AND CERTAIN INEQUALITIES: n-FRACTIONAL POLYNOMIAL CONVEX FUNCTIONS.
- Authors
İŞCAN, İMDAT
- Abstract
In this paper, we introduce a new function class called n-fractional polynomial convex function and their some algebric properties. We obtain some refinements of the right-hand side of Hermite-Hadamard inequality for the class of functions whose derivatives in absolutely value at certain powers are n-fractional polynomial convex. Also, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give better approach than the others. Some applications to special means of real numbers are also given.
- Subjects
POLYNOMIALS; HADAMARD matrices; INTEGERS; MATHEMATICS; VARIATIONAL inequalities (Mathematics)
- Publication
Miskolc Mathematical Notes, 2023, Vol 24, Issue 3, p1389
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2023.4142