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  • MakaleAçık Erişim2024Scopus SJRQ3
    Construction 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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