ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS  

作　　者：谢四清 

出　　处：《Acta Mathematica Scientia》1995年第4期474-476,共3页数学物理学报（B辑英文版）

摘　　要：Let P-n be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral integral(-1)(1)(P ''(n) (x))(2)dx and integral(-1)(1) (1-x(2))1/2(P ''(n)(x))(2)dx subject to the constraint max \P-n(x)\less than or equal to 1.Let P-n be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral integral(-1)(1)(P ''(n) (x))(2)dx and integral(-1)(1) (1-x(2))1/2(P ''(n)(x))(2)dx subject to the constraint max \P-n(x)\less than or equal to 1.

关 键 词：algebraic polynomial INTERPOLATION 

分 类 号：O174[理学—数学]