JOURNAL ARTICLE

Error estimates of Hermite‐Hadamard type inequalities with respect to a monotonically increasing function.

  • Published In: Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 13. P. 14527 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Samraiz, Muhammad; Malik, Maria; Naheed, Saima; Akdemir, Ahmet Ocak 3 of 3

Abstract

Fractional calculus is used to examine and enhance the concept of calculus in diverse fields of science. In this paper, we establish Hermite‐Hadamard inequalities for composite (α,m)$$ \left(\alpha, m\right) $$‐convex function. The generalized identities are established for Riemann‐type fractional integrals. The explored identities are used to examine error estimates of Hermite‐Hadamard inequalities for (α,m)$$ \left(\alpha, m\right) $$‐convex function concerning a strictly monotone function. Some results that exist in literature are obtained as special cases to our general results. The conclusions of this article may be useful in determining the uniqueness of partial differential equations and fractional boundary value problems. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2023/09, Vol. 46, Issue 13, p14527
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:0170-4214
  • DOI:10.1002/mma.9334
  • Accession Number:169971117
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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