New error bounds for Newton's formula associated with tempered fractional integrals
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, we first construct an integral identity associated with tempered fractional operators. By using this identity, we have found the error bounds for Simpson's second formula, namely Newton-Cotes quadrature formula for differentiable convex functions in the framework of tempered fractional integrals and classical calculus. Furthermore, it is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature.
Description
Keywords
Newton-type inequalities, Quadrature formulae, Fractional integrals, Tempered fractional integrals
Journal or Series
Boundary Value Problems
WoS Q Value
N/A
Scopus Q Value
Q3
Volume
2024
Issue
1
