Inequalities for interval-valued Riemann diamond-alpha integrals

被引：1
|
作者：
Bohner, Martin [1 ]
Nguyen, Linh [2 ]
Schneider, Baruch [3 ]
Truong, Tri [3 ]
机构：
[1] Missouri S&T, Rolla, MO 65409 USA
[2] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
[3] Univ Ostrava, Fac Sci, Dept Math, Ostrava 70103, Czech Republic
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
关键词：
Interval-valued functions; Time scales; Diamond-alpha integral; Jensen's inequalities; Holder's inequalities; Minkowski's inequalities; OPIAL-TYPE INEQUALITIES; TIME SCALES; HUKUHARA DIFFERENTIABILITY; OPTIMIZATION; DERIVATIVES; EQUATIONS;
D O I：
10.1186/s13660-023-02993-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Holder's and Minkowski's interval inequalities are proved. Also, several numerical examples are provided in order to illustrate our main results.
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页数：30
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