scholarly journals An upper bound for the sum $\sum\sp {a+H}\sb {n=a+1}f(n)$ for a certain class of functions $f$

1992 ◽  
Vol 114 (1) ◽  
pp. 29-29 ◽  
Author(s):  
Edward Dobrowolski ◽  
Kenneth S. Williams
Keyword(s):  
Upper Bound ◽  
Class Of Functions

scholarly journals Third Hankel Determinant for A Class of Functions with Respect to Symmetric Points Associated with Exponential Function

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Exponential Function ◽  
Upper Bound ◽  
Hankel Determinant ◽  
Exponential Functions ◽  
Third Order ◽  
Symmetric Points ◽  
Class Of Functions

The purpose of the present work is to determine the possible upper bound of third order Hankel determinant for the functions starlike and convex with respect to symmetric points associated with exponential functions.

scholarly journals A Note on the Class of Functions with Bounded Turning

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Adem Kılıçman
Keyword(s):  
Unit Disk ◽  
Upper Bound ◽  
Analytic Functions ◽  
Geometric Representation ◽  
Jack’S Lemma ◽  
Bounded Turning ◽  
Class Of Functions ◽  
Jack's Lemma

We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed.

scholarly journals On functions of bounded boundary rotation I

1969 ◽  
Vol 16 (4) ◽  
pp. 339-347 ◽  
Author(s):  
D. A. Brannan
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Image Domain ◽  
Basic Properties ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation ◽  
Image Position ◽  
Class Of Functions

Let Vk denote the class of functionswhich map conformally onto an image domain ƒ(U) of boundary rotation at most kπ (see (7) for the definition and basic properties of the class kπ). In this note we discuss the valency of functions in Vk, and also their Maclaurin coefficients.In (8) it was shown that functions in Vk are close-to-convex in . Here we show that Vk is a subclass of the class K(α) of close-to-convex functions of order α (10) for , and we give an upper bound for the valency of functions in Vk for K>4.

scholarly journals Adaptive Wavelet Estimation of a Biased Density for Strongly Mixing Sequences

2011 ◽  
Vol 2011 ◽  
pp. 1-21
Author(s):  
Christophe Chesneau
Keyword(s):  
Wide Class ◽  
Upper Bound ◽  
Hard Thresholding ◽  
Wavelet Estimation ◽  
Adaptive Wavelet ◽  
Wavelet Estimator ◽  
Strongly Mixing ◽  
Mean Integrated Square Error ◽  
Mixing Sequences ◽  
Class Of Functions

The estimation of a biased density for exponentially strongly mixing sequences is investigated. We construct a new adaptive wavelet estimator based on a hard thresholding rule. We determine a sharp upper bound of the associated mean integrated square error for a wide class of functions.

CLASS OF BOOLEAN FUNCTIONS CONSTRUCTED USING SIGNIFICANT BITS OF LINEAR RECURRENCES OVER THE RING ℤ2n

2019 ◽  
Vol 6 (2) ◽  
pp. 90-94
Author(s):  
Hernandez Piloto Daniel Humberto
Keyword(s):  
Linear Function ◽  
Boolean Functions ◽  
Hamming Distance ◽  
Linear Recurrences ◽  
Maximum Period ◽  
Non Linear ◽  
The Given ◽  
Class Of Functions

In this work a class of functions is studied, which are built with the help of significant bits sequences on the ring ℤ2n. This class is built with use of a function ψ: ℤ2n → ℤ2. In public literature there are works in which ψ is a linear function. Here we will use a non-linear ψ function for this set. It is known that the period of a polynomial F in the ring ℤ2n is equal to T(mod 2)2α, where α∈ , n01- . The polynomials for which it is true that T(F) = T(F mod 2), in other words α = 0, are called marked polynomials. For our class we are going to use a polynomial with a maximum period as the characteristic polyomial. In the present work we show the bounds of the given class: non-linearity, the weight of the functions, the Hamming distance between functions. The Hamming distance between these functions and functions of other known classes is also given.

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