Results 71 to 80 of about 2,041 (214)
Influence of Particle Aspect Ratio on Translational Collision Dynamics in Wall‐Bounded Turbulence
Chemical Engineering &Technology, Volume 49, Issue 6, June 2026.Direct numerical simulations with fully resolved four‐way coupling show that particle shape strongly influences collision dynamics in turbulent channel flow. Needle‐like ellipsoids align with local shear, reducing turbulent scattering and producing lower collision velocities with narrower impact‐angle distributions.
Connor H. Nolan +3 more
wiley +1 more source
A Class of Extremal Functions and Trigonometric Polynomials
, 1997 In this paper we present two classes of extremal approximating functions. These functions have the property that they are entire, have finite exponential type, and provide excellent approximations along the real line for a specific set of functions.
Holt, Jeffrey J.
core +1 more source
On the Gaps between Zeros of Trigonometric Polynomials
Real Analysis Exchange, 2003 We show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball of diameter D, where D is the sum over S of 1 over 4 times the L2 norm of the vector. We investigate tightness in some special cases.
Kozma, Gady, Oravecz, Ferencz
openaire +4 more sources
Engineering Reports, Volume 8, Issue 6, June 2026.Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim +2 more
wiley +1 more source
Inequalities for Trigonometric Polynomials and Some Integral Means
, 2001 Some inequalities associated with the Laplacian for trigonometric polynomials are given, which will be applied to investigate the behavior in approximation by trigonometric polynomials in higher dimensions and the best lower and upper estimates for some ...
Zhou, Xinlong +3 more
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Engineering Reports, Volume 8, Issue 6, June 2026.This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid +2 more
wiley +1 more source
Extremal Positive Trigonometric Polynomials
, 2002 In this paper we review various results about nonnegative trigonometric polynomials. The emphasis is on their applications in Fourier Series, Approximation Theory, Function Theory and Number Theory ...
Dimitar K. Dimitrov
core
On Some Cauchy Type Mean-Value Theorems with Applications
Communications in Advanced Mathematical SciencesSome Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj +1 more source
Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree
, 2012 Orthogonal systems of trigonometric polynomials of semi-integer degree with respect to a weight function w(x) on (0, 2 pi) have been considered firstly by Turetzkii [A.H.
Tomović, Tatjana V. +3 more
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Equivalence between various Shape Preserving Approximations of periodic functions
Researches in MathematicsWe show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj +1 more source