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, [0, 1], (n+1) n-. . [2]. — (. 5.4 5.6). . 6.4 2 [5]. , [4]. , , [6] [7]. [1].  相似文献   

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Z d — k=(k 1, ...,k d) k j,d1.d- (8), . . a k s m= a k s, >0 N, min (m 1,...,m d)N, ¦s ms¦. , , >0 N, min (m 1,...,m d)N min (n 1,...,n d)N, ¦s ms n. . , (8) , >0 N, max (b 1,...,b d) N, mZ d , m1, ¦s(b, m)¦ where   相似文献   

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(, ) — R m ×R n . f R m ×R n fp,q, f L p (R m) x y, Lq(Rn). ׃ q,r cƒ p,r , ׃ R m ×R n , , , q r . , ( ¦¦) K 0 (y); p, g r , K 0.  相似文献   

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f(x,y) jk . , {c jk} , f(x, )(, ) [0,1)х[0,1) , - (0,0). , , f, - f. , , , [1] . . - [5] [6].

This research is supported by National Science Council, Taipei, R.O.C. under Grant #NSC 84-2121-M-007-026.  相似文献   

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, , . .

Dedicated to Academician S. M. Nikol'skii on his 90th birthday

This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant # 234.  相似文献   

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, (t) >0 E(–, +),E<, , ¦f(t(t) xE, f(t)=0 (–, +).  相似文献   

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[3] , [1], ¦C,,(t)¦ k - . , , ¦R, , (t)¦ k - ¦R, , (t)¦ k - . (t)=1,k=1 [7], [9].

This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant#T 016 393.  相似文献   

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w a(x)=exp(–xa), xR, a0. , N n (a,p,q) — (2), n P nwap, CNn(a,p, q)Pnwaq. , — , {P n}, .

This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985.  相似文献   

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X(Y) f -:X(Y)={fM(×): fX(Y)=f(x,.)YX< . =(0, ), M (×) — , ×, X, Y, Z— . X(Y) Z(×).  相似文献   

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Exact estimates for partially monotone approximation   总被引:2,自引:0,他引:2  
f(x) — , - [–1,1], (f, ) — , as— f, . . (- ) (x i,x i+ 1) (i=0, 1, ...,s–1; =–1,x s,=1), f(x) . , n=0,1,... n() , [– 1,1] signf(x) sign n(x) 0, ¦f(x)– n(x)¦ C(s) (f, 1/n+1, C(s) s. , - , « » .  相似文献   

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h 1, L p .

This research was supported in part by MTA-NSF grants INT-8400708 and 8620153.  相似文献   

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- ()N2,L F ( ) — , 2- , {s m() f} -L. — . (L F( ),L F( ) ={(k)} (kZ2) , fLF( ) f , , L F( ). - ={()} ={()} , n(())m()n(()+()) . R() , .. - . , . (L F ( ),L F ( )) , R(,)=O(1) (x).

The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper.  相似文献   

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