Results 61 to 70 of about 234 (166)
A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar +1 more
wiley +1 more source
Some general integral inequalities for Lipschitzian functions via conformable fractional integral
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Some new results related to the Hadamard inequality and the Bullen inequality are obtained via conformable fractional integrals. Let \(I\) be an interval in \(\mathbb{R}\), \(a\leq x\leq y\leq b\) in \(I\) and let \(f:I\rightarrow \mathbb{R}\) be an \(M\)-Lipschitzian function, i.e., \(|f(x)-f(y)| \leq M |x-y|\) for all \(x,y\in I\). Let \(\lambda \in [
Turhan, Sercan +2 more
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Common Fixed Point Theorems for Order Contractive Mappings on a σ‐Complete Vector Lattice
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove some common fixed point theorems for order contractive mappings on a σ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order‐theoretic in nature.
Min Wang +4 more
wiley +1 more source
Fractal and FractionalIn this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir +4 more
doaj +1 more source
Uniqueness properties of functionals with Lipschitzian derivative
, 2005 7 ...
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Smooth stable manifolds for the non-instantaneous impulsive equations with applications to Duffing oscillators. [PDF]
Proc Math Phys Eng Sci, 2022 Lu W, Pinto M, Xia Y.
europepmc +1 more source
Lipschitzian selections in best approximation by continuous functions
Journal of Approximation Theory, 1990 A set of conditions that would ensure the existence of Lipschitzian selections in approximation problems involving continuous functions is obtained and illustrated.
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Convergence results for a class of abstract continuous descent methods
Electronic Journal of Differential Equations, 2004 We study continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish convergence theorems for those methods which are generated by approximate solutions to evolution equations governed by ...
Sergiu Aizicovici +2 more
doaj
Some Integral Inequalities Involving Metrics. [PDF]
Entropy (Basel), 2021 Agarwal RP, Jleli M, Samet B.
europepmc +1 more source