Results 81 to 90 of about 37,248 (196)

Optimal Quadrature Formulas for the Sobolev Space $H^1$

, 2016
24 pages, 1 figure, 1 ...
Zhang, Shun, Novak, Erich
openaire   +2 more sources

Optimal quadrature formulas with derivatives in Sobolev space

, 2014
In the present paper the problem of construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$is considered. Here the quadrature sum consists of values of the integrand at nodes and values of the first and the third derivatives of the integrand at the end points of the integration interval.
Shadimetov, Kh. M., Hayotov, A. R., Nuraliev, F. A.   +2 more
openaire   +2 more sources

Optimal quadrature formulae and minimal monosplines in L_q [PDF]

Journal of the Australian Mathematical Society, 1970
SummaryThe quadrature formula of order m using values of derivatives up to the m — 1st order with the best possible bound in is derived. Using certain properties of the polynomials minimal in Lq norm, it is proved that the optimal formula not use the derivatives of m — 1st order if m is even.
openaire   +2 more sources

Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

Results in Applied Mathematics
In this paper, we study the problem of constructing optimal formulas for approximate integration in the Sobolev space L2m˜0,1 of periodic functions. Using the functional approach, we obtain optimal quadrature formulas for the approximate calculation of ...
Kholmat Shadimetov, Anvar Adilkhodjaev, Otabek Gulomov   +2 more
doaj   +1 more source

On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis

Fractal and Fractional
In this article, we develop multiplicative fractional versions of Simpson’s and Newton’s formula-type inequalities for differentiable generalized convex functions with the help of established identities.
Abdul Mateen, Serap Özcan, Zhiyue Zhang, Bandar Bin-Mohsin   +3 more
doaj   +1 more source

OPTIMAL QUADRATURE FORMULA WITH DERIVATIVE

International Journal of Applied Mathematics
This article is devoted to the construction of optimal quadrature formulas with derivative in the space of differentiable functions using the Sobolev method. This quadrature formula consists of a linear combination of the values of the interval  up to the second derivative of the function at all nodes.
openaire   +1 more source

On the Performance of RIS-Assisted Wireless Communications Over Generalized Multi-Cluster Fluctuating Two-Ray Fading Channels

IEEE Access
Reconfigurable Intelligent Surfaces (RIS) are emerging as a key enabler for future wireless networks, offering cost-effective solutions to enhance coverage, improve energy efficiency, and support ultra-reliable communications.
Irina Isabel Salazar Argoti, Evelio Martin Garcia Fernandez, Henry Ramiro Carvajal Mora, Andrei Camponogara   +3 more
doaj   +1 more source

Optimization of the Approximate Integration Formula Using the Quadrature Formula

International Journal of Analysis and Applications
The article explores Sard’s problem of constructing optimal quadrature formulas in the space W(4,0)2(0,1) by using Sobolev’s method. This problem involves two steps: first, calculating the norm of the error functional, and then finding the minimum of this norm by the coefficients of the quadrature formulas.
Kh.M. Shadimetov, A.K. Boltaev
openaire   +1 more source

Direct detection with an optimal transfer function: toward the electrical spectral efficiency of coherent homodyne detection

Opto-Electronic Science
Complex-valued double-sideband direct detection (DD) can reconstruct the optical field and achieve a high electrical spectral efficiency (ESE) comparable to that of a coherent homodyne receiver, and DD does not require a costly local oscillator laser ...
Xingfeng Li, Jingchi Li, Xiong Ni, Hudi Liu, Qunbi Zhuge, Haoshuo Chen, William Shieh, Yikai Su   +7 more
doaj   +1 more source

Error Analysis for Semilinear Stochastic Subdiffusion with Integrated Fractional Gaussian Noise

Mathematics
We analyze the error estimates of a fully discrete scheme for solving a semilinear stochastic subdiffusion problem driven by integrated fractional Gaussian noise with a Hurst parameter H∈(0,1).
Xiaolei Wu, Yubin Yan
doaj   +1 more source