Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

Costa, Tiago Mendonça da; Flores-Franulič, A.; Chalco-Cano, Y.; Aguirre-Cipe, I.

doi:10.1016/j.ins.2020.04.037

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Cited by 6 publications

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“…p is the best possible. For details of other Čebys ˇev and Ostrowski type inequalities, we refer the interested reader to [11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications

Guo,

Zhu,

et al. 2023

PLoS ONE

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As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet integrals, and pseudo-integrals. Set-valued analysis, a well-known generalization of classical analysis, is frequently employed in studying mathematical economics, control theory, etc. Inspired by pioneering work on interval-valued inequalities, this paper establishes specific Ostrowski and Čebyšev type inequalities for interval-valued functions. Moreover, the error estimation to quadrature rules is presented as some applications for illustrating our results. In addition, illustrative examples are offered to demonstrate the applicability of the mathematical methods presented.

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“…p is the best possible. For details of other Čebys ˇev and Ostrowski type inequalities, we refer the interested reader to [11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%