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Ostrowski-Type Inequalities for Functions of Two Variables in Banach Spaces

Author

Listed:
  • Muhammad Amer Latif

    (Department of Mathematics, Faculty of Sciences, King Faisal University, Hofuf 31982, Saudi Arabia)

  • Ohud Bulayhan Almutairi

    (Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia)

Abstract

In this paper, we offer Ostrowski-type inequalities that extend the findings that have been proven for functions of one variable with values in Banach spaces, conducted in a remarkable study by Dragomir, to functions of two variables containing values in the product Banach spaces. Our findings are also an extension of several previous findings that have been established for functions of two variable functions. Prior studies on Ostrowski-type inequalities incriminated functions that have values in Banach spaces or Hilbert spaces. This study is unique and significant in the field of mathematical inequalities, and specifically in the study of Ostrowski-type inequalities, because they have been established for functions having values in a product of two Banach spaces.

Suggested Citation

  • Muhammad Amer Latif & Ohud Bulayhan Almutairi, 2024. "Ostrowski-Type Inequalities for Functions of Two Variables in Banach Spaces," Mathematics, MDPI, vol. 12(17), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2748-:d:1471441
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