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- MakaleAçık Erişim2024Scopus SJRQ3Construction of a new generalization for n-polynomial convexity with their certain inequalities
Kadakal, Mahir; İşcan, İmdat; Kadakal, Huriye
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" pre-viously 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.
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İncele - MakaleAçık Erişim2023STRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES
Kadakal, Huriye; Kadakal, Mahir
In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Holder, Holder-Iscan inequalities and power-mean, improved power-mean integral inequalities.
AtıfWoS2OpenAlex2İncele