Results 41 to 50 of about 541 (183)

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

Characterization of the generalized Chebyshev-type polynomials of first kind

International Journal of Applied Mathematical Research, 2015
Orthogonal polynomials have very useful properties in mathematical problems, and in recent years there has been significant development in the field of approximation theory using orthogonal polynomials. In this paper, we characterize a sequence of generalized Chebyshev-type polynomials of the first kind {Tn(M,N)(x)}n∈N∪{0}\{T_n^{(M,N)}(x)\}_{n \in ...
openaire   +3 more sources

The Chebyshev Polynomials Of The First Kind For Analysis Rates Shares Of Enterprises

, 2023
Chebyshev polynomials of the first kind have long been used to approximate experimental data in solving various technical problems. Within the framework of this study, the dynamics of shares of eight Czech enterprises was analyzed by the Chebyshev polynomial decomposition: CEZ A.S. (CEZP), Colt CZ Group SE (CZG), Erste Bank (ERST), Komercni Banka (BKOM)
openaire   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A New Efficient Method for Solving System of Weakly Singular Fractional Integro-Differential Equations by Shifted Sixth-Kind Chebyshev Polynomials

Journal of Mathematics, 2022
In this paper, a new approach for solving the system of fractional integro-differential equation with weakly singular kernels is introduced. The method is based on a class of symmetric orthogonal polynomials called shifted sixth-kind Chebyshev ...
S. Yaghoubi, H. Aminikhah, K. Sadri
doaj   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

INVESTIGATION OF THE KOLMOGOROV-WIENER FILTER FOR CONTINUOUS FRACTAL PROCESSES ON THE BASIS OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev, Alexander Gusev, Valerii Korniienko   +2 more
doaj   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen, Filip Szczepankiewicz   +1 more
wiley   +1 more source

Solving Special Case of Inverse Sturm-Liouville Problem with Aftereffect by using Chebyshev Polynomials

پژوهش‌های ریاضی, 2021
Introduction In this study, we consider the differential equation with aftereffect under the separated boundary conditions on a finite interval. In fact, we consider the Sturm-Liouville operator disorganized by a Volterra integral operator. We obtain the
Shahrbanoo Akbarpoor, Abdol Hadi Dabbaghian, Abdolali Nematy   +2 more
doaj  

Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds [PDF]

Advances in Difference Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Dojin Kim   +3 more
openaire   +3 more sources