On some new simpson’s formula type inequalities for convex functions in post-quantum calculus

Miguel J. Vivas-Cortez, Muhammad Aamir Ali, Shahid Qaisar, Ifra Bashir Sial, Sinchai Jansem, Abdul Mateen

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4 Citas (Scopus)

Resumen

In this work, we prove a new (p, q)-integral identity involving a (p, q)-derivative and (p, q)-integral. The newly established identity is then used to show some new Simpson’s formula type inequalities for (p, q)-differentiable convex functions. Finally, the newly discovered results are shown to be refinements of comparable results in the literature. Analytic inequalities of this type, as well as the techniques used to solve them, have applications in a variety of fields where symmetry is important.

Idioma originalInglés
Número de artículo2419
PublicaciónSymmetry
Volumen13
N.º12
DOI
EstadoPublicada - 14 dic. 2021

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© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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