Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set
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Date
2022-11-29
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Fractal and Fractional
Abstract
The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result. Using this new identity along with generalized Hölder’s inequality and generalized power mean inequality, we establish some new variants of fractal
corrected dual-Simpson-type integral inequalities. Furthermore, some applications for error estimates of quadrature formulas as well as some special means involving arithmetic and p-logarithmic mean are offered to demonstrate the efficacy of our findings.
Description
2022, 6, 710
https://doi.org/10.3390/fractalfract6120710
Keywords
corrected dual-Simpson inequality, local fractional derivatives, local fractional integrals, generalized convex functions, fractal set