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Generalizations of Bullen, Simpson, Midpoint and Trapezoid type integral inequalities

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2024
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Abstract (EN)

In the introduction part of this thesis, which consists of four chapters, general information about inequality theory and the concept of convexity is given. In the second part, some classes of convex functions, some important inequalities and Hermite-Hadamard, Bullen, Trapezoid, Midpoint and Simpson type inequalities for convex functions are given. In the last section, generalizations of the Bullen, Trapezoid, Midpoint and Simpson type inequalities for the 𝑠-convex, quasi-convex and 𝑃-function are obtained. In the last chapter, discussion and conclusion, the findings obtained in the thesis are summarised and some suggestions are mentioned.

Author

Hanife Azaklı

How to Cite

Hanife Azaklı (Master Thesis). Generalizations of Bullen, Simpson, Midpoint and Trapezoid type integral inequalities, 2024, Ordu University.

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