Results 1 to 10 of about 1,925,469 (317)

Gamma Generalization Operators Involving Analytic Functions

open access: yesMathematics, 2021
In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments.
Qing-Bo Cai   +2 more
doaj   +2 more sources

Determining the optimal generalization operators for building footprints using an improved graph neural network model

open access: yesGeocarto International
Determining the optimal generalization operators of city buildings is a crucial step during the building generalization process and an important aspect of realizing cross-scale updating of map data.
Xinyu Niu   +4 more
doaj   +2 more sources

Superdensity operators for spacetime quantum mechanics

open access: yesJournal of High Energy Physics, 2018
We introduce superdensity operators as a tool for analyzing quantum information in spacetime. Superdensity operators encode spacetime correlation functions in an operator framework, and support a natural generalization of Hilbert space techniques and ...
Jordan Cotler   +3 more
doaj   +3 more sources

Development of the Method of Averaging in Clifford Geometric Algebras

open access: yesMathematics, 2023
We develop the method of averaging in Clifford (geometric) algebras suggested by the author in previous papers. We consider operators constructed using two different sets of anticommuting elements of real or complexified Clifford algebras.
Dmitry Shirokov
doaj   +3 more sources

On modified Dunkl generalization of Szász operators via q-calculus

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen   +2 more
doaj   +2 more sources

A generalization of Kantorovich operators for convex compact subsets [PDF]

open access: yes, 2016
In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability ...
Altomare, Francesco   +3 more
core   +3 more sources

A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials

open access: yesJournal of Function Spaces and Applications, 2013
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş   +2 more
doaj   +2 more sources

Neural operators for accelerating scientific simulations and design [PDF]

open access: yesNature Reviews Physics, 2023
Scientific discovery and engineering design are currently limited by the time and cost of physical experiments. Numerical simulations are an alternative approach but are usually intractable for complex real-world problems.
Kamyar Azzizadenesheli   +5 more
semanticscholar   +1 more source

A hexagon-based method for polygon generalization using morphological operators

open access: yesInternational Journal of Geographical Information Science, 2022
Numerous methods based on square rasters have been proposed for polygon generalization. However, these methods ignore the inconsistent distance measurement among neighborhoods of squares, which may result in an imbalanced generalization in different ...
Lu Wang   +4 more
semanticscholar   +1 more source

On the training and generalization of deep operator networks [PDF]

open access: yesSIAM Journal on Scientific Computing, 2023
We present a novel training method for deep operator networks (DeepONets), one of the most popular neural network models for operators. DeepONets are constructed by two sub-networks, namely the branch and trunk networks.
Sanghyun Lee, Yeonjong Shin
semanticscholar   +1 more source

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