Results 1 to 10 of about 816,649 (277)

Product Convolution of Generalized Subexponential Distributions

open access: yesMathematics, 2023
Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη.
Gustas Mikutavičius, Jonas Šiaulys
doaj   +3 more sources

Generalized transforms and convolutions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper, using the concept of a generalized Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product.
Timothy Huffman   +2 more
doaj   +3 more sources

Convolution series and the generalized convolution Taylor formula [PDF]

open access: yesFractional Calculus and Applied Analysis, 2022
19 ...
Yuri Luchko
exaly   +3 more sources

On a Generalized Convolution Operator [PDF]

open access: yesSymmetry, 2021
Recently in the paper [Mediterr. J. Math. 2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and a fractional derivative operator.
Poonam Sharma   +2 more
openaire   +2 more sources

A note on product-convolution for generalized subexponential distributions

open access: yesNonlinear Analysis, 2022
In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find ...
Dimitrios Konstantinides   +2 more
doaj   +1 more source

Generative convolution layer for image generation

open access: yesNeural Networks, 2022
This paper introduces a novel convolution method, called generative convolution (GConv), which is simple yet effective for improving the generative adversarial network (GAN) performance. Unlike the standard convolution, GConv first selects useful kernels compatible with the given latent vector, and then linearly combines the selected kernels to make ...
Seung Park, Yong-Goo Shin
openaire   +4 more sources

Generalized Weights of Convolutional Codes

open access: yesIEEE Transactions on Information Theory, 2023
In 1997 Rosenthal and York defined generalized Hamming weights for convolutional codes, by regarding a convolutional code as an infinite dimensional linear code endowed with the Hamming metric. In this paper, we propose a new definition of generalized weights of convolutional codes, that takes into account the underlying module structure of the code ...
Elisa Gorla, Flavio Salizzoni
openaire   +4 more sources

Some Relationships for the Generalized Integral Transform on Function Space

open access: yesMathematics, 2020
In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them.
Hyun Soo Chung
doaj   +1 more source

Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation

open access: yesAdvances in Mathematical Physics, 2022
In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated.
Yuanhua Lin, Liping He
doaj   +1 more source

Estimates of certain paraxial diffraction integral operator and its generalized properties

open access: yesAdvances in Difference Equations, 2020
This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution theorem.
Shrideh Al-Omari   +4 more
doaj   +1 more source

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