2026-10-30T02:53:30Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/134712026-10-29T19:43:21Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10227

Strongly n-polynomial convexity and related inequalitiesAtaman, CananKadakal, Mahirİşcan, İmdatConvex functionHermite-Hadamard inequalityHölder integral inequalityHölder İşcan integral inequalitystrongly n-polynomial convexityIn this paper, we introduce and study the concept of strongly n-polynomial convexity functions and their some algebraic properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is strongly n-polynomial convexity. Also, we compare the obtained results 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.SINUS Association2022Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/13471https://doi.org/10.37193/cmi.2022.02.021584-286XenCreative Mathematics and Informaticsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13471