FURYE QATORI. FURYE QATORI YORDAMIDA BA’ZI SONLI KETMA-KETLIKLARNING YIG‘INDISINI TOPISH METODIKASI

Authors

  • Savronov Doston Author

Abstract

Ushbu maqola matematikaning eng muhim mavzulari bo‘lgan Furye qatori va sonli ketma-ketliklar yig‘indisiga doir qiziqarli muhim natijalarni o‘z ichiga olgan. Dastlab Furye qatoriga yoyish tog‘risida malumot keltirilgan va ba’zi sonli ketma-ketlilar yig‘indisi topilgan. Agar ????(????) funksiya [????;????] kesmada monoton bo‘lsa yoki [????;????] kesmani chekli sondagi qismiy kesmalarga bo‘lish mumkin bo‘lsa va bu kesmalarning har birida ????(????) funksiya monoton (faqat o‘ssa yoki faqat kamaysa) yoki o‘zgarmas bo‘lsa, ????(????) funksiyaga [????;????] kesmada bo‘lakli monoton funksiya deyiladi. Agar ????(????) funksiya [????;????] kesmada chekli sondagi birinchi tur uzilish nuqtalariga ega bo‘lsa, ????(????) funksiyaga [a;b] kesmada bo‘lakli-uzluksiz funksiya deyiladi. Agar ????(????) funksiya [????;????] kesmada uzluksiz yoki bo‘lakli-uzluksiz bo‘lib, bo‘lakli-monoton bo‘lsa ????(????) funksiya [????;????] kesmada Dirixle shartlarini qanoatlantiradi deyiladi. Funksiyalarni Furye qatoriga yoyishda ular Dirixle shartlarini qanoatlantirishi zarur va yetarli.

References

1. https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

2. https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)

3. Usmonov, M.T. & Shokirov.,Sh.H, (2022). Teylor formulasini matematik masalalarni еchishdagi ahamiyati. "«Science and Education» Scientific Journal" Scientific Journal, Tom-3, 19-23.

4. Usmonov, M.T. & Shokirov.,Sh.H, (2022). Dаrаjаli qаtоrlаrning tаqribiy hisоblаshlаrgа tаtbiqi. «Science and Education» Scientific Journal, Tom-3, 29-32.

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5. Usmonov, M.T. & Shokirov.,Sh.H, (2022). Ishoralari almashinib keluvchi qatorlar. Leybnits alomati. «Science and Education» Scientific Journal, Tom-3, 24- 28.

6. Usmonov, M.T. & Shokirov.,Sh.H, (2022). Teylor qatori va uning tadbiqlari. «Science and Education» Scientific Journal, Tom-3, 33-38.

7. Уралов, А. Б., & Бердалиева, С. Х. (2020). МОРФЕМАЛАР ТИЗИМИДА АГГЛЮТИНАЦИЯ ВА ФУЗИЯ МУНОСАБАТИ. Интернаука, (20-4), 81-82.

8. Уралов, А. Б., & Умарова, Б. Х. (2020). ТУРКИЙ ТИЛЛАРДА МОРФЕМАЛАРНИНГ ВУЖУДГА КЕЛИШИ. Интернаука, (20-4), 77-78.

9. Uralov, A. B. (2018). COMPREHENSIVEAND EXTENDED FORMS OF SUFFIXES IN UZBEK LANGUAGE. Theoretical & Applied Science, (12), 127-131.

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Published

2026-06-09

Issue

Vol. 1 No. 1 (2026): Raqamli pedagogika: masofaviy ta’lim, o‘qitish texnologiyalari va sifat monitoringi

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Articles

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