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Volume 7, Issue 2
Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals

Fatih Hezenci & Hüseyin Budak

DOI: 10.12150/jnma.2025.602

J. Nonl. Mod. Anal., 7 (2025), pp. 602-621.

Published online: 2025-04

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

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  • Abstract

In this paper, an equality is established for tempered fractional integrals. With the help of this equality, we prove several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Moreover, we provide our results by using special cases of obtained theorems.

  • Keywords

Quadrature formulae, corrected Maclaurin’s formula, tempered fractional integrals, convex functions.

  • AMS Subject Headings

26D07, 26D10, 26D15, 65D32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-602, author = {Hezenci , Fatih and Budak , Hüseyin}, title = {Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {602--621}, abstract = {

In this paper, an equality is established for tempered fractional integrals. With the help of this equality, we prove several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Moreover, we provide our results by using special cases of obtained theorems.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.602}, url = {http://global-sci.org/intro/article_detail/jnma/24017.html} }
TY - JOUR T1 - Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals AU - Hezenci , Fatih AU - Budak , Hüseyin JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 602 EP - 621 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.602 UR - https://global-sci.org/intro/article_detail/jnma/24017.html KW - Quadrature formulae, corrected Maclaurin’s formula, tempered fractional integrals, convex functions. AB -

In this paper, an equality is established for tempered fractional integrals. With the help of this equality, we prove several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Moreover, we provide our results by using special cases of obtained theorems.

Hezenci , Fatih and Budak , Hüseyin. (2025). Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals. Journal of Nonlinear Modeling and Analysis. 7 (2). 602-621. doi:10.12150/jnma.2025.602
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