Koshi-Bunyakovskiy tengsizligi MUNDARIJA KIRISH .......................................................................................................3I BOB. KOSHI–BUNYAKOVSKIY TENGSIZLIGINING NAZARIY ASOSLARI VA TARIXIY SHAKLLANISHI …………………………51.1 Tengsizlikning tarixiy rivojlanishi: Koshi va Bunyakovskiy ishlari asosida …………………………………………………………………….51.2 Koshi–Bunyakovskiy tengsizligining klassik ko‘rinishi va matematik ifodasi …………………………………………………………………….. 1.3 Koshi tengsizligining matematik tahlili: geometrik va algebraik izoh .. II BOB. KOSHI–BUNYAKOVSKIY TENGSIZLIGINING AMALIY QO‘LLANILISHI VA BOSHQA TENGSIZLIKLAR BILAN BOG‘LIQLIGI …………………………………………………………. 2.1 Koshi–Bunyakovskiy tengsizligi asosida arifmetik va geometrik o‘rtachalar tengsizligini isbotlash ………………………………………… 2.2 Skalyar ko‘paytma va normalar yordamida tengsizlikni chiziqli fazoda talqin qilish ……………………………………………………………….. 2.3 Tengsizlikning masalalarda qo‘llanilishi: kombinatorika va koordinata geometriya misollarida …………………………………………………… III BOB. KOSHI–BUNYAKOVSKIY TENGSIZLIGINING QO‘LLANILISHI VA MASALALAR YECHIMI …………………… 3.1 Algebraik masalalarda tengsizlikni qo‘llash …………………………. 3.2 Ehtimollar nazariyasida Koshi–Bunyakovskiy tengsizligining ahamiyati …………………………………………………………………. 3.3 Tengsizlik asosida maksimal yoki minimal qiymatlarni baholash …… XULOSA ………………………………………………………………… FOYDALANILGAN ADABIYOTLAR RO’YHATI …………………. FOYDALANILGAN SAYTLAR RO’YHATI …………………………