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FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS

Author

Listed:
  • YONGFANG QI

    (Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China)

  • GUOPING LI

    (��Scientific Research Planning Division, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China)

Abstract

In this paper, we introduce (s,m)-convex function, and obtain a new identity by the method called integrating by parts. Based on the identity, many Ostrowski type inequalities are presented through the Hölder’s inequality and the well-known power-mean inequality. Under certain conditions, the results we obtained can be transformed into the classical results. Of course, at the end of the paper, some examples are given to support the main results.

Suggested Citation

  • Yongfang Qi & Guoping Li, 2023. "FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501281
    DOI: 10.1142/S0218348X23501281
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