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

Muhammad Amer Latif and Ohud Bulayhan Almutairi ()
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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

Mathematics, 2024, vol. 12, issue 17, 1-22

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.

Keywords: Ostrowski’s inequality; Hölder inequality; Banach spaces; Bochner integrable function; Hölder continuous function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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