TUB SONLARDA GARMONIK QATOR XARAKTERISTIKASI
Keywords:
sonli qatorlar, tub sonlar, cheksiz ko‘paytmalar, yaqinlashuvchi va uzoqlashuvchilik.Abstract
Ma’lumki matematikaning turli yo‘nalishlarida sonli qatorlar keng qo‘llaniladi. Ammo qatorlar tarkibiga kiradigan bazi turlarini yaqinlashuvchi yoki uzoqlashuvchi ekanini odatiy uslublarda ko‘rsatish birmuncha qiyin yoki deyarli imkonsiz.Shu sababli tub son orqali shakllantirilgan garmonik qatorni uzoqlashuvchi ekanini 3 xil ajoyib isbotini ushbu maqolada keltirib o‘tamiz.
References
Matematik analiz. 1-qism ( T. Azlarov, X. Mansurov )
Malcolm R. Adams. Sequences and Series: An Introduction to Mathematical Analysis
H.L.Royden, P.M. Fitzpatrick, Real Analysis ( fourth edition)
Miklos Lacskovich, Vera T. Sos, Real Analysis: Series, Functions of Several Variables, and Applications
Robert Magnus, Fundamental Mathematical Analysis
Richard Beals. Advanced Mathematical Analysis
Walter Rudin. Principles of Mathematical Analysis
Titu Andreescu. Dorin Andrica. Number theory: Structures, Examples and Problems
Titu Andreescu. Gabriel Dospinescu. Oleg Mushkarov. Number theory: Concepts and Problems
