A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method [PDF]
, 2021 Ahmed A. Khidir
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Robust Λ$\Lambda$‐Quantiles and Extremal Distributions
Mathematical Finance, Volume 36, Issue 1, Page 3-19, January 2026.ABSTRACT In this paper, we investigate the robust models for Λ$\Lambda$‐quantiles with partial information regarding the loss distribution, where Λ$\Lambda$‐quantiles extend the classical quantiles by replacing the fixed probability level with a probability/loss function Λ$\Lambda$.
Xia Han, Peng Liu
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A Numerical Solution of Volterra's Population Growth Model Based on Hybrid Function [PDF]
International Journal Bioautomation, 2017 In this paper, a new numerical method for solving Volterra's population growth model is presented. Volterra's population growth model is a nonlinear integro-differential equation. In this method, by introducing the combination of fourth kind of Chebyshev
Saeid Jahangiri +2 more
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ON THE EXPONENTIAL CHEBYSHEV APPROXIMATION IN UNBOUNDED DOMAINS: A COMPARISON STUDY FOR SOLVING HIGH-ORDER ORDINARY DIFFERENTIAL EQUATIONS [PDF]
, 2015 Mohamed A. Ramadan +3 more
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The Necessary Uniformity of Physical Probability
Philosophy and Phenomenological Research, Volume 112, Issue 1, Page 290-306, January 2026.ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
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Chebyshev Finite Difference Method for Fractional Boundary Value Problems
Journal of Mathematical Extension, 2015 This paper presents a numerical method for fractional differential equations using Chebyshev finite difference method. The fractional derivatives are described in the Caputo sense.
Boundary
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A Comparison Study of Numerical Techniques for Solving Ordinary Differential Equations Defined on a Semi-Infinite Domain Using Rational Chebyshev Functions [PDF]
, 2021 Mohamed A. Ramadan +3 more
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On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
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Zeros of multiple orthogonal polynomials: location and interlacing
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove a criterion for the possible locations of zeros of type I and type II multiple orthogonal polynomials in terms of normality of degree 1 Christoffel transforms. We provide another criterion in terms of degree 2 Christoffel transforms for establishing zero interlacing of the neighboring multiple orthogonal polynomials of type I and type
Rostyslav Kozhan, Marcus Vaktnäs
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