Periodic Functions
On some classes of almost periodic functions in abstract spaces
... ear space of such functions considered with a suitable norm turns out to be a Banach space. Moreover, we give an application to an ordinary linear homogeneous differential equation, where the corresponding operator ...
11
Mean periodic functions
... ically slowly decreasing in this sense, hence the conclusion of Theorem 3 holds with no restrictions in the case of analytic mean-periodic functions... vergence of i0 being this time in.[r] ...
37
Almost periodic functions on Hausdorff almost periodic time scales
... almost periodic functions on Hausdorff almost periodic time scales and show this concept includes Bohr almost periodic functions and sequences when T = R and ...almost periodic ...
14
Almost Periodic Functions on Topological Groups
... almost periodic functions on G), and showing some of its ...almost periodic functions (Theorem ...2π-periodic functions, Theorem ...
107
Trigonometric expansions of doubly periodic functions of the second kind in any number of variables
... Doubly Periodic Functions of the Second Kind in Any Number of Variab les.. T h esis by.[r] ...
82
Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
... almost periodic functions on time scales and give some of its basic ...almost periodic functions on time scales and study some basic properties of pseudo almost periodic ...
24
The Bessel Struve intertwining operator on ℂ and mean periodic functions
... [Mean-periodic functions associated with a differential operator in the complex plane], Mathematical Analysis and Its Applications (Kuwait, 1985), KFAS ...
15
Almost periodic and asymptotically almost periodic functions: part I
... almost periodic functions, either in their initial or in generalized form, turned out to be of great importance in various fields of analysis, function theory, topology and applied ...almost periodic ...
19
APPROXIMATION OF PERIODIC FUNCTIONS BY SUB-MATRIX MEANS OF THEIR FOURIER SERIES
... of periodic functions are extended in two directions: Improving the degree of approximation of periodic functions by sub-matrix means of its Fourier series and such degree is applicable for a ...
9
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov Like Pseudo Almost Periodic Functions
... almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is ...pseudo-almost periodic solutions to a class of abstract ...
12
Vector valued means and weakly almost periodic functions
... As applications of the theory of vector-vMued means, .how that the definitions of mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is ad[r] ...
11
POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
... methods of their proof are given in the works by Gorin [9], Arestov and Glazyrina [5], Gashkov [8], and Vinogradov [25]. In the present paper, we obtain sharp inequalities for continuous periodic functions ...
18
Characterizations of vector valued weakly almost periodic functions
... 1. Introduction. Let S be a semitopological semigroup, let ᐄ be a Banach space, and let Ꮿ (S, ᐄ ) be the space of bounded continuous functions from S to ᐄ with supremum norm. Let f ∈ Ꮿ (S, ᐄ ). The right (left) ...
10
Product Decomposition of Periodic Functions in Quantum Signal Processing
... under the assumption that all the roots have modulus at most 1 [15]. In our case, the rational Laurent polynomial p(z) = 1 − a(z) 2 − b(z) 2 does not satisfy the modulus condition; however, this is a minor problem. Every ...
22
Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of \(2\pi /r\) periodic functions
... We extend the results of Xh. Z. Krasniqi (Acta Comment. Univ. Tartu Math. 17:89–101, 2013) and the authors (Acta Comment. Univ. Tartu Math. 13:11–24, 2009; Proc. Est. Acad. Sci. 67:50–60, 2018) to the case when ...
14
Arithmetized Trigonometrical Expansions of Doubly Periodic Functions of the Third Kind
... Each ·pole of order.i in the function expanded gives rise to corresponding series in which..-f takes precisely the values.. is odd or is even.The factors whidh multiply these.[r] ...
202
Mean periodic functions and ordinary differential equations
... For E E = if the ¢R, the space of all complex-valued continuous functions defined on the real line and equipped with the topology of convergence uniform on all compact subsets of R, Schw[r] ...
66
Results on Weighted Stepanov-like Pseudo Periodic Functions and Applications
... The periodic, almost periodic and almost automorphic solutions to differential equations can profoundly characterize the asymptotic behavior of the corresponding dynamic systems, which have gained great ...
12
Some exact inequalities of Hardy Littlewood Polya type for periodic functions
... Laith Emil Azar: Department of Mathematics, Al Al-Bayt University, Mafraq 25113, Jordan E-mail address: [email protected].[r] ...
7
ORDER EQUALITIES IN DIFFERENT METRICS FOR MODULI OF SMOOTHNESS OF VARIOUS ORDERS
... P r o o f of Theorem 1. In the proof of Theorem 1, we will use neither estimates (2)–(5) from Theorems A and B nor the direct (see [6, inequality (0.3)]) and inverse (see [5, inequality (2)]) theorems of approximation ...
9