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The Riesz–Zygmund Sums of Fourier–Chebyshev Rational Integral Operators and Their Approximation Properties
Studying the approximation properties of a certain Riesz–Zygmund sum of Fourier–Chebyshev rational integral operators with constraints on the number...
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Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range
We provide a characterization when the quaternionic numerical range of a matrix is a closed ball with center 0. The proof makes use of Fejér–Riesz...
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Study of existence results for fractional functional differential equations involving Riesz-Caputo derivative
Within this work, we look into the existence results for a family of fractional functional differential equations employing the Riesz-Caputo...
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Vector-valued McShane and strong McShane integrals with the Alexiewicz norm and its Riesz representation theorems
This article discusses McShane and strong McShane integration theory in the class of vector-valued functions endowed with the Alexiewicz norm, their...
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On the maximal singular integral with Riesz potentials
We investigate the maximal singular integral with Riesz potentials and give a short proof of its estimates through a result from Duoandikoetxea and...
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A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations
In this paper, we study the fast algorithm for the numerical solution of the Riesz distributed-order nonlinear space-fractional diffusion equation....
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On the Global Existence for the Compressible Euler–Riesz System
The present paper aims at extending to the Euler–Riesz system the results.
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Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ
In general, the Riesz derivative and the fractional Laplacian are equivalent on ℝ. But they generally are not equivalent with each other on any...
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Riesz Transforms Associated to Semigroups of Markov Multipliers
In this chapter, we start by proving Khintchine inequalities for q-Gaussians in crossed products. As a consequence, we obtain boundedness of Lp-Riesz...
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Relatively compact sets of Banach space-valued bounded-variation spaces
In this paper, we give criteria for the relatively compact sets of Banach space-valued bounded-variation spaces in the sense of Jordan and Banach...
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Riesz-type Inequalities and Overdetermined Problems for Triangles and Quadrilaterals
We consider Riesz-type nonlocal interaction energies over polygons. We prove the analog of the Riesz inequality in this discrete setting for...
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Variation type characterization of product Hardy spaces
In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a...