Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

Maximum of the modulus of kernels in Gauss-Turan quadratures

Milovanović, Gradimir
Spalević, Miodrag
Pranić, Miroslav

January 2008

We study the kernels in the remainder terms of the Gauss-Turán quadrature formulae for analyti...

A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight

Milovanović, Gradimir V.
Pejčev, Aleksandar
Spalević, Miodrag

January 2013

In two BIT papers error expansions in the Gauss and Gauss-Turan quadrature formulas with the Chebysh...

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

Gorana Aras-Gazic
Josip Pečaric
Ana Vukelic

November 2016

We consider integral error representation related to the Hermite interpolating polynomial and derive...

Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

Đukić, Dušan
Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2020

This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formul...

Errors of gauss-radau and gauss-lobatto quadratures with double end point

Pejčev, Aleksandar
Mihić, Ljubica

January 2019

Starting from the explicit expression of the corresponding kernels, derived by Gautschi and Li (W. G...

Errors of gauss-radau and gauss-lobatto quadratures with double end point

Pejčev, Aleksandar
Mihić, Ljubica

January 2019

Starting from the explicit expression of the corresponding kernels, derived by Gautschi and Li (W. G...

The error bounds of gauss-lobatto quadratures for weights ofbernstein-szego type

Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2019

In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....

The error bounds of gauss-lobatto quadratures for weights ofbernstein-szego type

Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2019

In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....

On the remainder term of Gauss–Radau quadratures for analytic functions

Milovanović, Gradimir V.
Spalević, Miodrag M.
Pranić, Miroslav S.

September 2008

AbstractFor analytic functions the remainder term of Gauss–Radau quadrature formulae can be represen...

Error analysis in some Gauss–Turán–Radau and Gauss–Turán–Lobatto quadratures for analytic functions

Milovanović, Gradimir V.
Spalević, Miodrag M.

March 2004

AbstractWe consider the generalized Gauss–Turán quadrature formulae of Radau and Lobatto type for ap...

Error bounds of certain Gaussian quadrature formulae

Spalević, Miodrag M.
Pranić, Miroslav S.

June 2010

AbstractWe study the kernel of the remainder term of Gauss quadrature rules for analytic functions w...

Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be?

Knizhnerman, Leonid

January 2010

AbstractStability of passing from Gaussian quadrature data to the Lanczos recurrence coefficients is...

Error bounds of the Micchelli-Sharma quadrature formula for analytic functions

Pejčev, Aleksandar
Spalević, Miodrag

January 2014

Micchelli and Sharma constructed in their paper [On a problem of Turan: multiple node Gaussian quadr...

Error bounds of the Micchelli-Sharma quadrature formula for analytic functions

Pejčev, Aleksandar
Spalević, Miodrag

January 2014

Micchelli and Sharma constructed in their paper [On a problem of Turan: multiple node Gaussian quadr...

Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature

Xiang, Shuhuang

September 2012

AbstractIn this paper, we present asymptotic analysis on the coefficients of functions expanded in f...

Maximum of the modulus of kernels in Gauss-Turan quadratures

Milovanović, Gradimir
Spalević, Miodrag
Pranić, Miroslav

January 2008

We study the kernels in the remainder terms of the Gauss-Turán quadrature formulae for analyti...

A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight

Milovanović, Gradimir V.
Pejčev, Aleksandar
Spalević, Miodrag

January 2013

In two BIT papers error expansions in the Gauss and Gauss-Turan quadrature formulas with the Chebysh...

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

Gorana Aras-Gazic
Josip Pečaric
Ana Vukelic

November 2016

We consider integral error representation related to the Hermite interpolating polynomial and derive...

Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

Đukić, Dušan
Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2020

This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formul...

Errors of gauss-radau and gauss-lobatto quadratures with double end point

Pejčev, Aleksandar
Mihić, Ljubica

January 2019

Starting from the explicit expression of the corresponding kernels, derived by Gautschi and Li (W. G...

Errors of gauss-radau and gauss-lobatto quadratures with double end point

Pejčev, Aleksandar
Mihić, Ljubica

January 2019

Starting from the explicit expression of the corresponding kernels, derived by Gautschi and Li (W. G...

The error bounds of gauss-lobatto quadratures for weights ofbernstein-szego type

Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2019

In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....

The error bounds of gauss-lobatto quadratures for weights ofbernstein-szego type

Mutavdžić Đukić, Rada
Pejčev, Aleksandar
Spalević, Miodrag

January 2019

In this paper, we consider the Gauss-Lobatto quadrature formulas for the Bernstein-Szego weights, i....

On the remainder term of Gauss–Radau quadratures for analytic functions

Milovanović, Gradimir V.
Spalević, Miodrag M.
Pranić, Miroslav S.

September 2008

AbstractFor analytic functions the remainder term of Gauss–Radau quadrature formulae can be represen...

Error analysis in some Gauss–Turán–Radau and Gauss–Turán–Lobatto quadratures for analytic functions

Milovanović, Gradimir V.
Spalević, Miodrag M.

March 2004

AbstractWe consider the generalized Gauss–Turán quadrature formulae of Radau and Lobatto type for ap...

Error bounds of certain Gaussian quadrature formulae

Spalević, Miodrag M.
Pranić, Miroslav S.

June 2010

AbstractWe study the kernel of the remainder term of Gauss quadrature rules for analytic functions w...

Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be?

Knizhnerman, Leonid

January 2010

AbstractStability of passing from Gaussian quadrature data to the Lanczos recurrence coefficients is...

Error bounds of the Micchelli-Sharma quadrature formula for analytic functions

Pejčev, Aleksandar
Spalević, Miodrag

January 2014

Micchelli and Sharma constructed in their paper [On a problem of Turan: multiple node Gaussian quadr...

Error bounds of the Micchelli-Sharma quadrature formula for analytic functions

Pejčev, Aleksandar
Spalević, Miodrag

January 2014

Micchelli and Sharma constructed in their paper [On a problem of Turan: multiple node Gaussian quadr...

Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature

Xiang, Shuhuang

September 2012

AbstractIn this paper, we present asymptotic analysis on the coefficients of functions expanded in f...

Maximum of the modulus of kernels in Gauss-Turan quadratures

Milovanović, Gradimir
Spalević, Miodrag
Pranić, Miroslav

January 2008

We study the kernels in the remainder terms of the Gauss-Turán quadrature formulae for analyti...

A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight

Milovanović, Gradimir V.
Pejčev, Aleksandar
Spalević, Miodrag

January 2013

In two BIT papers error expansions in the Gauss and Gauss-Turan quadrature formulas with the Chebysh...

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

Gorana Aras-Gazic
Josip Pečaric
Ana Vukelic

November 2016

We consider integral error representation related to the Hermite interpolating polynomial and derive...

Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

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Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

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