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Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3184701
Abstract: Nonstationary stochastic systems in the Wiener-Kolmogorov sense have properties defined by their moments of probability, entropy, and distribution function. Filtering Theory, in general, describes indirectly, a stochastic system through the processes of parameter estimation and…
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Keywords:
system;
filter;
exponential kernel;
recursive filter ... See more keywords
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Published in 2018 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542518110076
Abstract: The paper presents an algorithm for calculating a two-dimensional discrete convolution with an exponential kernel by solving a boundary value problem for an equation with a second-order finite-difference operator. To solve the boundary value problem,…
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Keywords:
convolution exponential;
problem;
calculating two;
two dimensional ... See more keywords
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Published in 2020 at "Open Physics"
DOI: 10.1515/phys-2020-0114
Abstract: Abstract The key purpose of this study is to suggest a new fractional extension of Hermite–Hadamard, Hermite–Hadamard–Fejér and Pachpatte-type inequalities for harmonically convex functions with exponential in the kernel. Taking into account the new operator,…
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Keywords:
new extensions;
integral operator;
extensions fractional;
exponential kernel ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15030748
Abstract: The class of symmetric function interacts extensively with other types of functions. One of these is the class of convex functions, which is closely related to the theory of symmetry. In this paper, we obtain…
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Keywords:
fractional integrals;
kernel subadditive;
subadditive functions;
exponential kernel ... See more keywords