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A VARIANTE OF KATUGAMPOLA MILNE-TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS

Author

Listed:
  • HICHAM SABER

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia)

  • ABDELKADER MOUMEN

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia)

  • BADREDDINE MEFTAH

    (Laboratory of Analysis and Control of Differential Equations “ACED†, Faculty MISM, Department of Mathematics, University of 8 Mai 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria)

  • HAMID BOULARES

    (Laboratory of Analysis and Control of Differential Equations “ACED†, Faculty MISM, Department of Mathematics, University of 8 Mai 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria)

  • MOHEDDINE IMSATFIA

    (Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia)

  • RAFIK GUEFAIFIA

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • IBRAHIM MEKAWY

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

In this study, we focus on examining Milne’s error bounds through the use of Katugampola fractional integral operators. To attain this, we commence by presenting a novel integral identity, which will serve as the basis for proving different new Milne-type inequalities for differentiable s-convex functions, thereby generalizing certain known results in the literature. The study concludes with a few applications to special means.

Suggested Citation

  • Hicham Saber & Abdelkader Moumen & Badreddine Meftah & Hamid Boulares & Moheddine Imsatfia & Rafik Guefaifia & Ibrahim Mekawy, 2025. "A VARIANTE OF KATUGAMPOLA MILNE-TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-18.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25401024
    DOI: 10.1142/S0218348X25401024
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