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MAJORANTA VA MINORANTA

MAJORANTA VA MINORANTA (Frans, majorante va minorante az majorer — kalon elon namudan va minorer — khurd elon namudan) dar matematika, du funksiyaest, ki qimati yakumash az qimathoi muvofiqi funksiyai dodashuda (baroi hamai qimathoi tagiryobandai novobastai funksiyai muoinashavanda) khurd nest va qimati duyumash az onho kalon nest. Mas., funksiyai /(kh) = kh baroi kh > —1 majorantai funksiyai g(x) = ln(i + kh) meboshad, zero baroi hamai qimathoi kh > —1 kh > ln( 1 4-kh) ast.

minoranta

Baroi funksiyahoe, ki bo qatorhoi darajagi ifoda meshavand, istilohi majoranta manii makhsus dorad: majoranta gufta summai qatori darajagiero mefahmand, ki koeffisienthoyash musbat buda az qimathoi mutlaqi koeffisienthoi muvofiqi qatori dodashuda khurd nestand. Agar /1 (kh) (ba manii makhsus) majorantai funksiyai g(x) boshad, on goh chunin menavisand:

Ba in manii makhsus majorantai funksiyai /p(1 + kh) shuda nametavonad. Majorantahoi qatohoi darajagi dar nazariyai muodilahon differensiali vase istifoda meshavand. Metodi halli takribii muodilahoi differensiali mahz ba istifodai majorantaho asos yoftaast, ki onro soli 1919 S. A. CHapligin peshnihod karda bud.

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