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| Some Results on Fractional Corrected Euler-Maclaurin-Type Inequalities Related to Various Function Classes |
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| KeyWord:Quadrature formulae, Maclaurin's formula, convex functions, fractional calculus |
| Author Name | Affiliation | | Cavit Alemdar | Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, T\"{u}rkiye | | Fatih Hezenci | Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, T\"{u}rkiye | | H\"{u}seyin Budak | Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai 602105, Tamil Nadu, India
Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Kocaeli 41001, T\"{u}rkiye |
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| Abstract: |
| In this paper, some corrected Euler-Maclaurin-type inequalities are established by using various function classes involving Riemann-Liouville fractional integrals. We then present our findings using examples and special cases of the theorems that we have discovered. Moreover, we provide several fractional corrected Euler-Maclaurin-type for bounded functions. Additionally, for Lipschitzian functions, we create a few fractional corrected Euler-Maclaurin-type inequalities. Lastly, we provide some fractional corrected Euler-Maclaurin-type inequalities for functions of bounded variation. |
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