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Title Development of Ostrowski Type of Inequalities for Fractional Integral

Author(s) Fawad Ali

Abstract In this thesis, first of all various types of convex functions and fractional integrals, their applications and various related identities and well-known inequalities are discussed. Then a new identity for differentiable, GA-convex function is established. Using this identity, Ostrowski type inequalities for fractional integral are developed. Then, two versions of Ostrowski type inequality for GA-convex differentiable and bounded function for Hadamard fractional integral are developed. Consequently, Ostrowski type inequalities for GA-convex nth differentiable bounded function for Hadamard fractional integral version-I and version-II are generalized. Accordingly, some applications to special means, such as arithmetic-, geometric-, logarithmic and p-logarithmic means in subsequent sections are also provided. Further, Ostrowski type inequalities for first time differentiable and n-time differentiable GA-convex function via fractional integral are established using power mean inequality. At the end, some conclusions and recommendations for further research work are provided.

Type Thesis/Dissertation

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2023-06-26

Subject Mathematics

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