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Toward New Assessment in Sarcoma Identification and Grading Using Artificial Intelligence Techniques [PDF]
DiagnosticsBackground/Objectives: Sarcomas are a rare and heterogeneous group of malignant tumors, which makes early detection and grading particularly challenging.
Arnar Evgení Gunnarsson +5 more
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Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent
Journal of Numerical Analysis and Approximation Theory, 2021 In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
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Matrix Summability of Walsh–Fourier Series
Mathematics, 2022 The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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On Hankel transforms of generalized Bessel matrix polynomials
AIMS Mathematics, 2021 The present article deals with the evaluation of the Hankel transforms involving Bessel matrix functions in the kernel. Moreover, these transforms are associated with products of certain elementary functions and generalized Bessel matrix polynomials.
Mohamed Abdalla
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New Orthogonal Transforms for Signal and Image Processing
Applied Sciences, 2021 In the paper, orthogonal transforms based on proposed symmetric, orthogonal matrices are created. These transforms can be considered as generalized Walsh–Hadamard Transforms.
Andrzej Dziech
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Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
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Complex and Hypercomplex Discrete Fourier Transforms Based on Matrix Exponential Form of Euler's Formula [PDF]
, 2011 We show that the discrete complex, and numerous hypercomplex, Fourier transforms defined and used so far by a number of researchers can be unified into a single framework based on a matrix exponential version of Euler's formula $e^{j\theta}=\cos\theta+j ...
Ell, Todd A., Sangwine, Stephen J.
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The Electronic Journal of Linear Algebra, 2019 Shanks' transformation is a well know sequence transformation for accelerating the convergence of scalar sequences. It has been extended to the case of sequences of vectors and sequences of square matrices satisfying a linear difference equation with scalar coefficients.
Brezinski, Claude +1 more
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Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
Journal of Function Spaces, 2021 In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms.
Mohamed Abdalla, Salah Mahmoud Boulaaras
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