Estimation of the error of cubature formulas, exact for splines, on certain classes of functions of two variables

Ukrainian Mathematical Journal ◽

10.1007/bf01086442 ◽

1979 ◽

Vol 31 (1) ◽

pp. 57-64

Author(s):

M. Shabozov

Keyword(s):

Cubature Formulas ◽

Functions Of Two Variables

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Cubature formulas of Hermite type in the space of periodic functions of two variables

10.1063/5.0057255 ◽

2021 ◽

Author(s):

Farhod Nuraliev

Keyword(s):

Periodic Functions ◽

Cubature Formulas ◽

Functions Of Two Variables

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Choosing grids in cubature formulas for evaluation of integrals for a class of functions of two variables

Cybernetics and Systems Analysis ◽

10.1007/bf02366508 ◽

1996 ◽

Vol 32 (3) ◽

pp. 429-433

Author(s):

O. S. Ostapenko

Keyword(s):

Cubature Formulas ◽

Functions Of Two Variables ◽

Class Of Functions

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On expansions of functions of two variables in mixed Fourier-Jacobi series and their application for estimation of errors of cubature formulas

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507080039 ◽

2007 ◽

Vol 47 (8) ◽

pp. 1243-1252

Author(s):

V. A. Abilov ◽

G. A. Dzhalaeva ◽

M. K. Kerimov

Keyword(s):

Jacobi Series ◽

Cubature Formulas ◽

Functions Of Two Variables

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Best cubature formulas for some classes of continuous functions of two variables

Ukrainian Mathematical Journal ◽

10.1007/s11253-009-0226-9 ◽

2009 ◽

Vol 61 (4) ◽

pp. 687-693

Author(s):

O. V. Polyakov ◽

N. O. Polyakova

Keyword(s):

Continuous Functions ◽

Cubature Formulas ◽

Functions Of Two Variables

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Investigation of rupture lines of the functions of two variables or their derivatives of some order

Journal of Mechanical Engineering ◽

10.15407/pmach2016.01.037 ◽

2016 ◽

Vol 19 (1) ◽

pp. 37-43

Author(s):

O. Lytvyn ◽

◽

O. Slavik ◽

Keyword(s):

Functions Of Two Variables ◽

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Construction of cubature formulas with fourth and fifth degrees by the reproducing kernel and Radon methods

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-2-8 ◽

2020 ◽

Vol 2020 (2) ◽

pp. 76-84

Author(s):

G.P. Ismatullaev ◽

S.A. Bakhromov ◽

R. Mirzakabilov

Keyword(s):

Reproducing Kernel ◽

Cubature Formulas

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Moderate degree cubature formulas for 3-D tetrahedral finite-element approximations

Communications in Applied Numerical Methods ◽

10.1002/cnm.1630070609 ◽

1991 ◽

Vol 7 (6) ◽

pp. 487-495 ◽

Author(s):

M. Gellert ◽

R. Harbord

Keyword(s):

Finite Element ◽

Moderate Degree ◽

Finite Element Approximations ◽

Cubature Formulas

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On Generalized Step-Functions and Superposition Operators

Georgian Mathematical Journal ◽

10.1515/gmj.2004.753 ◽

2004 ◽

Vol 11 (4) ◽

pp. 753-758

Author(s):

A. Kharazishvili

Keyword(s):

Step Functions ◽

Functions Of Two Variables ◽

Superposition Operators

Abstract For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators.

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Asymptotically optimal cubature formulas on manifolds for prefixed weights

Journal of Approximation Theory ◽

10.1016/j.jat.2021.105632 ◽

2021 ◽

pp. 105632

Author(s):

Martin Ehler ◽

Ujué Etayo ◽

Bianca Gariboldi ◽

Giacomo Gigante ◽

Thomas Peter

Keyword(s):

Asymptotically Optimal ◽

Cubature Formulas

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On students’ understanding of the differential calculus of functions of two variables

The Journal of Mathematical Behavior ◽

10.1016/j.jmathb.2015.03.003 ◽

2015 ◽

Vol 38 ◽

pp. 57-86 ◽

Author(s):

Rafael Martínez-Planell ◽

Maria Trigueros Gaisman ◽

Daniel McGee

Keyword(s):

Differential Calculus ◽

Functions Of Two Variables

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