( ω , c )‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells
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DOI: 10.1002/mma.5880
Abstract: Departamento Administrativo de Ciencia, Tecnologia e Innovacion 121556933876 164408 3/R Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT FONDECYT 1170466 read more here.
Keywords: first order; periodic functions; cauchy problem; asymptotically periodic ... See more keywords
Widths of the classes Bp,θΩ$$ {B}_{p,\theta}^{\varOmega } $$ of periodic functions of many variables in the space B1,1
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DOI: 10.1007/s10958-018-4056-x
Abstract: We have obtained the exact-by-order estimates of Kolmogorov, linear, and trigonometric widths of the classes Bp,θΩ$$ {B}_{p,\theta}^{\varOmega } $$ of periodic functions of many variables in the space B1,1 the norm in which is stronger… read more here.
Keywords: classes theta; varomega periodic; theta varomega; periodic functions ... See more keywords
Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
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DOI: 10.1007/s10958-020-04725-0
Abstract: Some approximative characteristics of classes of periodic functions of many variables L β , p ψ , $$ {L}_{\beta, p}^{\psi }, $$ 1 < p < 1 , in a uniform metric are investigated. The… read more here.
Keywords: periodic functions; classes periodic; uniform metric; many variables ... See more keywords
Entropy Numbers and Widths for the Classes Bp,θr$$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables
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DOI: 10.1007/s11253-017-1315-9
Abstract: We establish the exact-order estimates for the entropy numbers of the Nikol’skii–Besov classes of periodic functions of two variables in the space L∞ and use the obtained results to estimate the lower bounds for the… read more here.
Keywords: entropy numbers; classes theta; periodic functions; many variables ... See more keywords
Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces
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DOI: 10.1007/s11253-017-1338-2
Abstract: Let L0(T) be the set of real-valued periodic measurable functions, let Ψ: R+→ R+ be the modulus of continuity, and letLΨ≡LΨT=f∈L0T:fΨ≔12π∫TΨfxdx read more here.
Keywords: psi; periodic functions; moduli continuity; continuity ... See more keywords
Numerical Schemes without Saturation for Periodic Functions
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DOI: 10.1134/s1064562418050150
Abstract: For functions defined on closed smooth contours, formulas without saturation for calculating derivatives, integrals, interpolation, and integrals with logarithmic singularity are derived. read more here.
Keywords: without saturation; periodic functions; saturation periodic; schemes without ... See more keywords
Approximation of periodic functions in certain sub-classes of Lp[0,2π]
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DOI: 10.1142/s1793557117500462
Abstract: In this paper, we determine the degree of trigonometric approximation of 2π-periodic functions and their conjugates, in terms of the moduli of continuity associated with them, by matrix means of corresponding Fourier series. We also… read more here.
Keywords: approximation periodic; certain sub; periodic functions; functions certain ... See more keywords
On Semi- c -Periodic Functions
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DOI: 10.1155/2021/6620625
Abstract: The main aim of this paper is to indicate that the notion of semi- - periodicity is equivalent with the notion of - periodicity, provided that is a nonzero complex number whose absolute value is… read more here.
Keywords: periodic functions; semi periodic;
On finite sums of periodic functions
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DOI: 10.1515/gmj-2019-2076
Abstract: Abstract It is shown that any function acting from the real line ℝ {\mathbb{R}} into itself can be expressed as a pointwise limit of finite sums of periodic functions. At the same time, the real… read more here.
Keywords: periodic functions; sums periodic; finite sums; limit finite ... See more keywords
δ-Almost Periodic Functions and Applications to Dynamic Equations
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DOI: 10.3390/math7060525
Abstract: In this paper, by employing matched spaces for time scales, we introduce a δ -almost periodic function and obtain some related properties. Also the hull equation for homogeneous dynamic equation is introduced and results of… read more here.
Keywords: periodic functions; dynamic equations; almost periodic; equation ... See more keywords