Inequalities for interval-valued Riemann diamond-alpha integrals

Autor:	Martin Bohner, Linh Nguyen, Baruch Schneider, Tri Truong
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Interval-valued functions Time scales Diamond-alpha integral Jensen’s inequalities Hölder’s inequalities Minkowski’s inequalities Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-30 (2023)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-023-02993-3
Popis:	Abstract We propose the concept of Riemann diamond-alpha integrals for time scales interval-valued functions. We first give the definition and some properties of the interval Riemann diamond-alpha integral that are naturally investigated as an extension of interval Riemann nabla and delta integrals. With the help of the interval Riemann diamond-alpha integral, we present interval variants of Jensen inequalities for convex and concave interval-valued functions on an arbitrary time scale. Moreover, diamond-alpha Hölder’s and Minkowski’s interval inequalities are proved. Also, several numerical examples are provided in order to illustrate our main results.
Databáze:	Directory of Open Access Journals
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