Results 1 to 10 of about 4,012 (166)

Optimal quadrature formulas in the space W2​​(m,m−1) of periodic functions

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2​​(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used.
Hayotov, A.R., Khayriev, U.N.
doaj   +1 more source

Exactness of Quadrature Formulas [PDF]

SIAM Review, 2022
The standard design principle for quadrature formulas is that they should be exact for integrands of a given class, such as polynomials of a fixed degree. We show how this principle fails to predict the actual behavior in four cases: Newton-Cotes, Clenshaw-Curtis, Gauss-Legendre, and Gauss-Hermite quadrature.
openaire   +2 more sources

On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions

Algorithms, 2022
The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov, Abdullo Hayotov, Botir Abdikayimov   +2 more
doaj   +1 more source

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
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A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with L^p-Error Estimates

Axioms, 2023
In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions.
Ayman Hazaymeh, Rania Saadeh, Raed Hatamleh, Mohammad W. Alomari, Ahmad Qazza   +4 more
doaj   +1 more source

OFDM With Double Quadrature Signed Index Shift Keying

IEEE Access, 2023
Spectral, and energy-efficient, communication is essential for the current and future wireless communication generations. Therefore a novel OFDM with double quadrature signed index shift keying (OFDM-DQSISK) is proposed.
Hany S. Hussein, Mohammed Farrag
doaj   +1 more source

Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula

Mathematics, 2022
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
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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.
Schoenberg, I. J., Silliman, S. D.
openaire   +1 more source

Error estimation for n-th order Filon quadrature formula

Lietuvos Matematikos Rinkinys, 2023
In this paper the error estimation for n-th order Filon quadrature formula is discussed.
Kostas Plukas, Danutė Plukienė
doaj   +3 more sources

Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

Mathematics, 2023
It is known that discrete analogs of differential operators play an important role in constructing optimal quadrature, cubature, and difference formulas.
Kholmat Shadimetov, Aziz Boltaev, Roman Parovik   +2 more
doaj   +1 more source