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Mathematics > General Mathematics

Title: Discrete Opial type inequalities for interval-valued functions

Authors: Dafang Zhao, Xuexiao You, Delfim F. M. Torres
(Submitted on 22 Nov 2023)
Abstract: 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.
Comments: This is a preprint of a paper whose final and definite form is published in Mathematical Inequalities & Applications
Subjects: General Mathematics (math.GM)
MSC classes: 26D15, 26E50, 65G30
Journal reference: Math. Inequal. Appl. 26 (2023), no. 4, 811--826
DOI: 10.7153/mia-2023-26-49
Cite as: arXiv:2403.09650 [math.GM]
  (or arXiv:2403.09650v1 [math.GM] for this version)

Submission history

From: Delfim F. M. Torres [view email]
[v1] Wed, 22 Nov 2023 18:58:14 GMT (11kb)
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