scholarly journals Equivalence theorem for additive inequalities of Kolmogorov type

2016 ◽  
Vol 24 ◽  
pp. 17
Author(s):  
A.Ye. Haidabura ◽  
V.A. Kofanov
Keyword(s):  
Finite Interval ◽  
Equivalence Theorem ◽  
Kolmogorov Type ◽  
Whole Class ◽  
Class Of Functions

We prove the equivalence theorem for additive inequalities on a finite interval. Besides, we describe a pair of constants so that the additive inequalities with that constants are valid on the whole class of functions $L_s$.

scholarly journals On Landau-Kolmogorov problem on the interval for absolutely monotonic functions

2021 ◽  
Vol 17 ◽  
pp. 120
Author(s):  
D.S. Skorokhodov
Keyword(s):  
Finite Interval ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Class Of Functions ◽  
Absolutely Monotonic

We solve the Landau-Kolmogorov problem and the Kolmogorov problem for three positive numbers on the class of functions which are absolutely monotonic on a finite interval.

Landau–Kolmogorov problem for a class of functions absolutely monotone on a finite interval

2011 ◽  
Vol 63 (4) ◽  
pp. 617-637
Author(s):  
D. S. Skorokhodov
Keyword(s):  
Finite Interval ◽  
Absolutely Monotone ◽  
Class Of Functions

scholarly journals On inequalities of Kolmogorov type for classes of functions that are multiply monotonic on a finite interval

2021 ◽  
Vol 18 ◽  
pp. 145
Author(s):  
D.S. Skorokhodov
Keyword(s):  
Finite Interval ◽  
Kolmogorov Type ◽  
Monotonic Functions ◽  
Exact Constants

We solve the problem about exact constants in additive Kolmogorov-type inequalities on the class of multiply monotonic functions, defined on a finite interval.

Nonequilibrium Kolmogorov-type particle distributions and their applications

2013 ◽  
Vol 56 (1) ◽  
Author(s):  
Vladimir E. Zakharov ◽  
Vyacheslav I. Karas'
Keyword(s):  
Kolmogorov Type ◽  
Particle Distributions ◽  
Type Particle

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.

A Whole-Class Writing Assignment

1991 ◽  
Vol 20 (1) ◽  
pp. 27-30
Author(s):  
W. J. Wiebold ◽  
Rebecca G. Duncan
Keyword(s):  
Writing Assignment ◽  
Whole Class

Building the Community

2018 ◽  
Author(s):  
Marilyn Watson
Keyword(s):  
Caring Community ◽  
Shared Experiences ◽  
Shared History ◽  
Class Meetings ◽  
Whole Class ◽  
Do So

Laura used a variety of activities to help her students see themselves as part of a caring community from which they drew benefits and to which they had responsibilities. She engaged them in setting goals and norms for the classroom, provided lots of opportunities for shared experiences, and helped them build a shared history. She used class meetings to help them feel part of the whole class, and, together with her students, created special customs and experiences that helped define them as a group. Perhaps, most important, she encouraged her students to share in the responsibility for creating and maintaining their community, and she helped them do so.

scholarly journals Whole class ensemble tuition – special edition

2019 ◽  
Vol 36 (03) ◽  
pp. 221-222 ◽  
Author(s):  
Martin Fautley ◽  
Alison Daubney
Keyword(s):  
Special Edition ◽  
Whole Class

Some new results on the subexponential class

1989 ◽  
Vol 26 (4) ◽  
pp. 892-897 ◽  
Author(s):  
Emily S. Murphree
Keyword(s):  
Distribution Function ◽  
Sufficient Conditions ◽  
Necessary Condition ◽  
Subexponential Class ◽  
Class Of Functions

A distribution function F on (0,∞) belongs to the subexponential class if the ratio of 1 – F(2)(x) to 1 – F(x) converges to 2 as x →∞. A necessary condition for membership in is used to prove that a certain class of functions previously thought to be contained in has members outside of . Sufficient conditions on the tail of F are found which ensure F belongs to ; these conditions generalize previously published conditions.

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