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D. Zhekebay

Number of the journal, №: 2016. № 4

Research of one numerical series

Annotation: In the paper, we consider some fractional and irrational expressions, and prove the assertion that leads them to fractional and rational expressions, and also consider one general lower and upper bound (two-sided estimate) for a one numerical series. In obtaining some congruencies, we used the formula for binomial coefficients, then from the sum of the left side we cancel each other, and the summons with even numbers, where everywhere in an even degree in an uneven degree are doubled even after multiplier was put outside, all the summons remain free from the square root. Several variants of proofs are considered in the solution of certain problems and theorems.

Number of the journal, №: 2016. № 3

Some processes of irrational rationalization and two-sided evaluation of a single number series

Annotation: In this article we consider some fractional-irrational expressions and prove the assertion that reduce them to fractional-rational expressions and also consider one general lower-and-upper bound (two-sided estimate) for one numerical series.

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