Add to ORKGIn the paper, an upper bound and two lower bounds for Mathieu’s\ud series are established, which refine to a certain extent a sharp double inequality\ud obtained by Alzer-Brenner-Ruehr in 1998. Moreover, the very closer lower and\ud upper bounds for ζ(3) are deduced
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
In this note we obtain a generalization for Mathieu′s inequality. 2000 Mathematical Subject Classifi...
In the paper, an upper bound and two lower bounds for Mathieu’s series are established, which refin...
Two upper and lower bounds forMathieu’s series are established, which refine to a certain extent a s...
The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890;\ud its alternating variant...
Abstract. The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890, its alternating...
In this paper using the trapezoidal quadrature rule, we established new double inequality, for Mathi...
Abstract. In this paper using the trapezoidal quadrature rule, we established new double inequality,...
In the article, using the integral expression of Mathieu’s series and by some integral inequalities ...
AbstractThe inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are b...
Using the integral expression of Mathieu’s series and some integral and analytic inequal-ities invol...
Using the integral expression of Mathieu’s series and some integral and analytic inequal-ities invol...
The author’s research devoted to the Hilbert’s double series theorem and its various further extensi...
The inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are best poss...
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
In this note we obtain a generalization for Mathieu′s inequality. 2000 Mathematical Subject Classifi...
In the paper, an upper bound and two lower bounds for Mathieu’s series are established, which refin...
Two upper and lower bounds forMathieu’s series are established, which refine to a certain extent a s...
The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890;\ud its alternating variant...
Abstract. The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890, its alternating...
In this paper using the trapezoidal quadrature rule, we established new double inequality, for Mathi...
Abstract. In this paper using the trapezoidal quadrature rule, we established new double inequality,...
In the article, using the integral expression of Mathieu’s series and by some integral inequalities ...
AbstractThe inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are b...
Using the integral expression of Mathieu’s series and some integral and analytic inequal-ities invol...
Using the integral expression of Mathieu’s series and some integral and analytic inequal-ities invol...
The author’s research devoted to the Hilbert’s double series theorem and its various further extensi...
The inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are best poss...
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
An integral representation for a generalised Mathieu series is used to obtain bounds. The bounds are...
In this note we obtain a generalization for Mathieu′s inequality. 2000 Mathematical Subject Classifi...