New Simpson’s Type Estimates for Two Newly Defined Quantum Integrals

Muhammad Raees; Matloob Anwar; Miguel Vivas-Cortez; Artion Kashuri; Muhammad Samraiz; Gauhar Rahman

doi:10.3390/sym14030548

New Simpson’s Type Estimates for Two Newly Defined Quantum Integrals

Muhammad Raees, Matloob Anwar, Miguel Vivas-Cortez, Artion Kashuri, Muhammad Samraiz, Gauhar Rahman

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

In this paper, we give some correct quantum type Simpson’s inequalities via the application of q-Hölder’s inequality. The inequalities of this study are compatible with famous Simpson’s 1/8 and 3/8 quadrature rules for four and six panels, respectively. Several special cases from our results are discussed in detail. A counter example is presented to explain the limitation of Hölder’s inequality in the quantum framework.

Idioma original	Inglés
Número de artículo	548
Publicación	Symmetry
Volumen	14
N.º	3
DOI	https://doi.org/10.3390/sym14030548
Estado	Publicada - 8 mar. 2022

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© 2022 by the authors. Licensee MDPI, Basel, Switzerland.

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abstract = "In this paper, we give some correct quantum type Simpson{\textquoteright}s inequalities via the application of q-H{\"o}lder{\textquoteright}s inequality. The inequalities of this study are compatible with famous Simpson{\textquoteright}s 1/8 and 3/8 quadrature rules for four and six panels, respectively. Several special cases from our results are discussed in detail. A counter example is presented to explain the limitation of H{\"o}lder{\textquoteright}s inequality in the quantum framework.",

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AU - Samraiz, Muhammad

AU - Rahman, Gauhar

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KW - Convex function

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KW - Quantum integrals

KW - Simpson’s inequality

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