nblib.library.kz - /elib/library.kz/jurnal/v_2006_2/

23

1. ., ., -

. . .: , 1959.

1084 .

2. . -

IV //

. , 2003. , 1. . 45-52.

3. ., . -

. .: , 1986. 544 .

4. . . ., 2003. 431 .

IV i i

i i -

. i i -

i .

Summary

The task of synthesis of seven parameters of a spatial mechanism of IV class upon set positions of input and output links is considered. The solving of excluding of unknown from a system of the power multinomials with the unknowns

621.01:531

. 10.12.05 .

. .

-

. . , . .

, . . p 2 .

-

, . -

[2, 3].

, 2

k

ikx k

e c x

f ~

. . ,

H

_p^r

2 p , r r , 0 1 , r 0

, f(x) r

, f

^r

L

_p

, p 2

,

2 f x f x h h

h x

f

p

r r

r

0 < < 1 .

. . . . 1950 .

. [1]), f x H

_p^r

, -

-

. 2

1 , 0

2 1

1

2

p

c n

_r

n k

k

(1)

-

r

H

p

.

, 0

r

H

p

,

( , ,

).

1. 2

1 n n c

_n

0 1 , 2 .

, 1 2

1 r

r

. -

. ,

0 , 1 ,

, n c c const

n

n

c

(1)

24

2006. 2

1 1 n

n n k k

k

c k

1 1

2 2

2 1 2 2

1 1

n n

k n k

k k

c n c k

1 2

2 1 2

1

0

n r

n k k

c n c n k

1

2

1

2 .

c n

r

r

- ,

, , r:

1 2 2

2 . 1

2 , 1 2

1 1

r r

, 2

f(x) . .

r

W

p

, 1 p , r 0 , -

0: 0

2

0

dx x

f ,

r ^{, -}

L

_p

:

p

r

x L

f .

f(x) W

_p^r

( . [1]), -

r k

k

k

c

²

2

(2)

r

W

p

).

2. W

_p^r

2 p

2

1 n

2 , 1 2 , 1

1

0 r r

c

n

n

.

.

(2)

1 1

1 1

n n

n n k k k n k

k k

c k c n c k

1 1

n

r r

k n k

k

c n c k k

1 1

2 2

2

1 2 2

2

1 n r r

k n k

k k

c n c k k

1

2 2 2 2^r 1 ^r 2

0

c n n c n

1 . r 2

, , r -

k n

k k n n

1

1

,

, , + > –1:

2( – 1) > – 1, 2( – r) > 1, 2( – 1) + 2( – r) > –1,

.

. . B

_p^r

. 2 -

r

, B

p

x

f 1 p ,

, r

r 0 1 , r 0 , f(x)

r f

^r

x L

_p

,

,

1

,

1

0

1

f t dt

t

^{p r} _p

p k

n n

k

k n t

h

k

t c x kh

0

1 sup

, _.

0 -

B . -

. .

( . [4 5]).

3. B

_p^r

, 2 p

2

1 n

25 2 .

, 1 2 , 1

1

0 r r

c

n

_n

. [1] ,

r

B

p

2 p

,

2

1

2

2

k

k c

p

r n

(3) n

n 1 , n 1 , 2 ,...,

n

n n

1 ,

(n) 1, nn .

, (3):

1 1

1 1

n n

r

k n k k n k

k k

c n c k c n c k k

2 2

4 4

1 1

p p

k k k

1 2 2

2 2 2

1

1

n p

r k k

c n c k k

1 2 2

1 2 2 2

1

1

n p

r n k

k

k k

1 2 2

2 2 2

1 1

1 .

n p

r n k

k

c n k k (4)

(4)

_n

n , 0 ,

1 1

n

k n k

k

c n c k

2

2 2 2

1 1

1

n p

r n k

k

c n k k

2

4

1

2 0,

r p

c n n

2

r 1 > 0.

, , r

2 1 1, 1

2 1, 2

1 1

, .

2 1 2 1 2 2

r

r r

r

. ( . [4 5]).

1. . // -

. , 1965. . 475-483.

2. .

// .

, ,

» ( . 23-29 2005 .), -

(

30.04.1905 .). . . 233.

3. .

// . «

, , »,

75- 85-

. . . , 2005.

4. . . ., 1951. 505 .

5. .

// . . . 1995. . 36, 4. . 927-933.

. . , . . , . . -

i .

. Summary

Th e asymptotic behavior of Fourier coefficients of functions from the Nikilskii, Sobolev and Besov spaces is obtained. The sequence of coefficient in considered in Cesaro, Riesz, or Zygmund sence.

517.51

23.02.06 .

,