Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo +2 more
wiley +1 more source
A unified approach to compute foliations, inertial manifolds, and tracking initial conditions [PDF]
, 2012 Several algorithms are presented for the accurate computation of the leaves in the foliation of an ODE near a hyperbolic fixed point. They are variations of a contraction mapping method in [25] to compute inertial manifolds, which represents a particular
Chung, Y. -M., Jolly, M. S.
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Determination of Novel Estimations for the Slater Difference and Applications
Complexity, Volume 2024, Issue 1, 2024.The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan +6 more
wiley +1 more source
Steffensen's integral inequality for conformable fractional integrals
International Journal of Analysis and Applications, 2017 The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarikaya +2 more
doaj +2 more sources
An Element-wise RSAV Algorithm for Unconstrained Optimization Problems
, 2023 We present a novel optimization algorithm, element-wise relaxed scalar auxiliary variable (E-RSAV), that satisfies an unconditional energy dissipation law and exhibits improved alignment between the modified and the original energy.
Lin, Guang +3 more
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, 2022 Is it possible for a first-order method, i.e., only first derivatives allowed, to be quadratically convergent? For univariate loss functions, the answer is yes -- the Steffensen method avoids second derivatives and is still quadratically convergent like ...
Lai, Zehua, Lim, Lek-Heng, Zhao, Minda
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Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem [PDF]
, 2017 In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Ana Vukelic +2 more
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On a further generalization of Steffensen's inequality
Journal of Inequalities and Applications, 2000 Pečarić (J. Math. Anal. Appl., 104 (1984), 432–434) proved two theorems generalizing Steffensen's inequality. We extend Pečarić's results to the case of integrals over a general measure spaces. Some applications are also given.
Gauchman Hillel
doaj
On the interpolation constant for subadditive operators in Orlicz spaces
, 2007 Let $1\le ...
Karlovich, Alexei Yu., Maligranda, Lech
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On the Conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions
, 2016 International audienceLet $n ≥ 2$ be an integer and denote by $\theta_n$ the real root in $(0, 1)$ of the trinomial$G_{n}(X) = −1 + X + X^n$ . The sequence of Perron numbers $(\theta_{n}^{−1} )_{n≥2}$ tends to 1.
Verger-Gaugry, Jean-Louis
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