Kashuri, ArtionSarıkaya, Mehmet Zeki2023-07-262023-07-2620220041-59951573-9376https://doi.org/10.1007/s11253-022-02000-whttps://hdl.handle.net/20.500.12684/13595We prove an identity with two parameters for a function differentiable with respect to another function via generalized integral operator. By applying the established identity, we discover the generalized trapezium, midpoint, and Simpson-type integral inequalities. It is indicated that the results of the present research provide integral inequalities for almost all fractional integrals discovered in recent decades. Various special cases are identified. Some applications of the presented results to special means and new error estimates for the trapezium and midpoint quadrature formulas are analyzed. The ideas and techniques of the present paper may stimulate further research in the field of integral inequalities.en10.1007/s11253-022-02000-winfo:eu-repo/semantics/closedAccessHermite-Hadamard Type; Convex-FunctionsArticle739137113972-s2.0-85147185064WOS:000794849600005Q3Q4