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Discrete Opial type inequalities for interval-valued functions. (English) Zbl 1538.26122

Summary: We introduce the forward (backward) gH-difference operator of interval sequences, and establish some new discrete Opial type inequalities for interval-valued functions. Further, we obtain generalizations of classical discrete Opial type inequalities. Some examples are presented to illustrate our results.

MSC:

26D15 Inequalities for sums, series and integrals
26E50 Fuzzy real analysis

References:

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[52] May 18, 2022) Dafang Zhao School of Mathematics and Statistics Hubei Normal University Huangshi 435002, P. R. China e-mail: dafangzhao@163.com Xuexiao You School of Mathematics and Statistics Hubei Normal University Huangshi 435002, P. R. China e-mail: youxuexiao@126.com
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