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Volume 6, Issue 4
Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals

Fatih Hezenci & Hüseyin Budak

DOI: 10.12150/jnma.2024.930

J. Nonl. Mod. Anal., 6 (2024), pp. 930-948.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

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  • Abstract

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.

  • Keywords

Euler-Maclaurin-type inequality, quadrature formulae, tempered fractional integrals, convex functions.

  • AMS Subject Headings

26D07, 26D10, 26D15, 65D32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-930, author = {Hezenci , Fatih and Budak , Hüseyin}, title = {Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {930--948}, abstract = {

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.930}, url = {http://global-sci.org/intro/article_detail/jnma/23664.html} }
TY - JOUR T1 - Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals AU - Hezenci , Fatih AU - Budak , Hüseyin JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 930 EP - 948 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.930 UR - https://global-sci.org/intro/article_detail/jnma/23664.html KW - Euler-Maclaurin-type inequality, quadrature formulae, tempered fractional integrals, convex functions. AB -

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.

Hezenci , Fatih and Budak , Hüseyin. (2024). Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals. Journal of Nonlinear Modeling and Analysis. 6 (4). 930-948. doi:10.12150/jnma.2024.930
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