Abstract
In this paper, we first prove a new parameterized identity that generates a
quadrature rule family similar to Simpson’s second formula, and then we
establish some new Simpson-like type inequalities for functions whose first
derivatives are s-convex in the second sense, from which we can deduce the
famous
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions
- Stabilization by an estimated state controller of nonlinear time-varying systems
- Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations
- Consequences of Srinivasa Ramanujan integrals involving Meijer’s G-function
- Parameterized Simpson-like inequalities for differential s-convex functions
Articles in the same Issue
- Frontmatter
- Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions
- Stabilization by an estimated state controller of nonlinear time-varying systems
- Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations
- Consequences of Srinivasa Ramanujan integrals involving Meijer’s G-function
- Parameterized Simpson-like inequalities for differential s-convex functions