Uch o'lchovli fazo sferasida optimal kubatur formulalar

Ushbu monogr¿fiy¿ Sobolev f¿zol¿rid¿ uch o'lchovli f¿zo sfer¿sid¿ ¿niql¿ng¿n funksiy¿l¿rni t¿qribiy integr¿ll¿sh uchun optim¿l kub¿tur formul¿l¿r v¿ trigonom¿trik v¿znli optim¿l kv¿dr¿tur formul¿l¿r qurishd¿n ibor¿t. Monogr¿fiy¿ quyid¿gil¿rd¿n ibor¿t:*Uch o'lchovli f¿zo sfer¿sid¿ ¿niql¿ng¿n funksiy¿l¿rning integr¿lini t¿qribiy hisobl¿sh uchun optim¿l kub¿tur formul¿ qurish m¿s¿l¿sini trigonometrik v¿znli optim¿l kv¿dr¿tur formul¿l¿rni qurish m¿s¿l¿sig¿ keltirish;*Trigonometrik v¿znli optim¿l kv¿dr¿tur formul¿l¿rning x¿tolik funksion¿lining norm¿sini umumiy ko'rinishini topish v¿ koeffitsientl¿rini ¿niql¿sh;*Trigonometrik v¿znli optim¿l kv¿dr¿tur formul¿l¿rd¿n uch o'lchovli f¿zo sfer¿sid¿ ¿niql¿ng¿n funksiy¿l¿rning integr¿lini t¿qribiy hisobl¿sh uchun optim¿l kub¿tur formul¿ qurishd¿ foyd¿l¿nish;*Qurilg¿n trigonometrik v¿znli optim¿l kv¿dr¿tur formul¿l¿rning kompyuter tomogr¿fiy¿sid¿ t¿svirl¿rni q¿yt¿ tikl¿shg¿ t¿dbiql¿rini o'rg¿nish.Ushbu monogr¿fiy¿ oliy t¿'lim tizimining m¿tem¿tik¿ning turli soh¿l¿ri, hisobl¿sh m¿tem¿tik¿si, mex¿nik¿, sonli usull¿r bo'yich¿ t¿hsil ol¿yotg¿n t¿l¿b¿l¿r v¿ t¿dqiqotchil¿rg¿ mo'lj¿ll¿ng¿n.