Construction of a new generalization for $n$-polynomial convexity with their certain inequalities
Year: 2024
Type: article
Abstract: In this paper, we first construct a new generalization of $n$-polynomial convex function. That is, this study is a generalization of the definition of "$n$-polynomial convexity" previously found in the literature. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of $n$-polynomial convexity. Also, we see that the obtained results in the paper while comparing with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
Authors: Mahir Kadakal, İmdat İşcan, Huriye Kadakal
Institutions: Bayburt University, Giresun University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4390696960