Asymptotics for entropy integrals associated with exponential weights

Eli Levin; D. S. Lubinsky

doi:10.1016/S0377-0427(02)00915-9

Asymptotics for entropy integrals associated with exponential weights

Eli Levin
, D. S. Lubinsky

מתמטיקה

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

ملخص

We establish a first-order asymptotic for the entropy integrals ∫_I P²_n(log P² _n)W² and ∫_I P²_n(log(P_nW)²)W², where {P_n}^∞_n=0 are the orthonormal polynomials associated with the exponential weight W².

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	265-283
عدد الصفحات	19
دورية	Journal of Computational and Applied Mathematics
مستوى الصوت	156
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/S0377-0427(02)00915-9
حالة النشر	نُشِر - 15 يوليو 2003

الوصول إلى المستند

10.1016/S0377-0427(02)00915-9

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

@article{f8c65820757b4b1da46d8f7bad75dbd0,

title = "Asymptotics for entropy integrals associated with exponential weights",

abstract = "We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where \{Pn\}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.",

author = "Eli Levin and Lubinsky, \{D. S.\}",

year = "2003",

month = jul,

day = "15",

doi = "10.1016/S0377-0427(02)00915-9",

language = "אנגלית",

volume = "156",

pages = "265--283",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - Asymptotics for entropy integrals associated with exponential weights

AU - Levin, Eli

AU - Lubinsky, D. S.

PY - 2003/7/15

Y1 - 2003/7/15

N2 - We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where {Pn}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.

AB - We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where {Pn}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.

UR - https://www.scopus.com/pages/publications/0042843304

U2 - 10.1016/S0377-0427(02)00915-9

DO - 10.1016/S0377-0427(02)00915-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0042843304

SN - 0377-0427

VL - 156

SP - 265

EP - 283

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Asymptotics for entropy integrals associated with exponential weights

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا