Next Article in Journal
Fixed Points and λ-Weak Contractions
Next Article in Special Issue
New Perspectives of Symmetry Conferred by q-Hermite-Hadamard Type Integral Inequalities
Previous Article in Journal
Surfaces Family with Bertrand Curves as Common Asymptotic Curves in Euclidean 3–Space E3
Previous Article in Special Issue
Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions

by
Miguel Vivas-Cortez
1,
Ghulam Murtaza
2,
Ghulam Murtaza Baig
2,* and
Muhammad Uzair Awan
3
1
Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Apartado, Quito 17-01-2184, Ecuador
2
Department of Mathematics, School of Sciences (SSC), University of Management and Technology, Lahore 54770, Pakistan
3
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2023, 15(7), 1441; https://doi.org/10.3390/sym15071441
Submission received: 7 April 2023 / Revised: 5 June 2023 / Accepted: 16 June 2023 / Published: 18 July 2023
(This article belongs to the Special Issue Symmetry in Quantum Calculus)

Abstract

The main focus of this article is to derive some new counterparts to Simpson’s and Newton’s type inequalities involve a class of generalized coordinated convex mappings. This class contains several new and known classes of convexity as special cases. For further demonstration, we deploy the concept of right quantum derivatives to develop two new identities involving Raina’s function. Moreover, by implementing these auxiliary results together with generalized convexity, we acquire a Holder-type inequality. We also acquire some applications of our main findings by making use of suitable substitutions in Raina’s function.
Keywords: Raina; Simpson; Newton; convex; inequality Raina; Simpson; Newton; convex; inequality

Share and Cite

MDPI and ACS Style

Vivas-Cortez, M.; Murtaza, G.; Baig, G.M.; Awan, M.U. Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions. Symmetry 2023, 15, 1441. https://doi.org/10.3390/sym15071441

AMA Style

Vivas-Cortez M, Murtaza G, Baig GM, Awan MU. Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions. Symmetry. 2023; 15(7):1441. https://doi.org/10.3390/sym15071441

Chicago/Turabian Style

Vivas-Cortez, Miguel, Ghulam Murtaza, Ghulam Murtaza Baig, and Muhammad Uzair Awan. 2023. "Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions" Symmetry 15, no. 7: 1441. https://doi.org/10.3390/sym15071441

APA Style

Vivas-Cortez, M., Murtaza, G., Baig, G. M., & Awan, M. U. (2023). Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions. Symmetry, 15(7), 1441. https://doi.org/10.3390/sym15071441

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop