Results 1 to 10 of about 21,383 (247)
On semicardinal quadrature formulae [PDF]
Mathematics of Computation, 1974 The present paper concerns the semicardinal quadrature formulae introduced in Part III of the reference [3]. These were the limiting forms of Sard’s best quadrature formulae as the number of nodes increases indefinitely. Here we give a new derivation and characterization of these formulae.
I. J. Schoenberg, S. D. Silliman
openalex +2 more sources
AIMS Mathematics, 2021 In this article, we develop a new class of trapezium-type inequalities up to twice differentiable h-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities.
Muhammad Samraiz +5 more
doaj +2 more sources
Mathematical Modelling and Analysis, 2016 We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic +2 more
doaj +3 more sources
Journal of Inequalities and Applications, 2000 We consider quadrature formulae for Cauchy principal value integrals The quadrature formulae considered here are so-called modified formulae, which are obtained by first subtracting the singularity, and then applying some standard quadrature formula ...
Diethelm Kai, Köhler Peter
doaj +2 more sources
THE DISCRETE VORTEXES METHOD WITH THE IMPROVED QUADRATURE FORMULAE IN THE AEROELASTICITY PROBLEMS
Научный вестник МГТУ ГА, 2016 The possibility of the improved quadrature formulae of the discrete vortexes method used in the aeroelasticity problems is considered. Some of the calculation results confirm the efficiency of these formulae are carried out.
V. V. Ovchinnicov +2 more
doaj +2 more sources
Effective potentials in nonlinear polycrystals and quadrature formulae. [PDF]
Proc Math Phys Eng Sci, 2017 Michel JC, Suquet P.
europepmc +3 more sources
Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
Mathematics, 2021 The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
doaj +1 more source
Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
Kuwait Journal of Science, 2021 Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type with respect to the even weight function $\omega^{\lambda}(t;x)=\exp(-x t^2)(1-t^2)^{\lambda-1/2}$ on $(-1,1)$, with parameters $\lambda>-1/2$ and $x>0$, are considered.
Gradimir Milovanovic, Nevena Vasovic ́
doaj +1 more source