Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in the form of simple rational functions about cosht and (sinht)/t for the function I0x are obtained. The corresponding inequalities for the Toader-Qi mean do not match those in the existing literature
Abstract Let Wv(x)=xIv(x)/Iv+1(x) $W_{v} ( x ) =xI_{v} ( x ) /I_{v+1} ( x ) $ with Iv $I_{v}$ be the...
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then...
AbstractWe systematically investigate lower and upper bounds for the modified Bessel function ratio ...
Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in ...
Abstract In the article, we present several sharp bounds for the modified Bessel function of the fir...
AbstractSome inequalities for the ratios Jv + 1(x)Jv(x) and Iv + 1(x)Iv(x) of Bessel and modified Be...
AbstractWe establish some inequalities for the Bessel functions of the first kindJν(x) and for the m...
AbstractWe derive upper and lower bounds to the kth positive zero of the Bessel function of the firs...
AbstractNew sharp inequalities for the ratios of Bessel functions of consecutive orders are obtained...
In this paper we consider a sum of modified Bessel functions of the first kind of which particular c...
AbstractIn this paper, our aim is to show some mean value inequalities for the modified Bessel funct...
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by ...
AbstractIn this note we offer some inequalities involving modified Bessel functions of the first kin...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
By finding linear relations among differences between two special means, the authors establish some ...
Abstract Let Wv(x)=xIv(x)/Iv+1(x) $W_{v} ( x ) =xI_{v} ( x ) /I_{v+1} ( x ) $ with Iv $I_{v}$ be the...
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then...
AbstractWe systematically investigate lower and upper bounds for the modified Bessel function ratio ...
Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in ...
Abstract In the article, we present several sharp bounds for the modified Bessel function of the fir...
AbstractSome inequalities for the ratios Jv + 1(x)Jv(x) and Iv + 1(x)Iv(x) of Bessel and modified Be...
AbstractWe establish some inequalities for the Bessel functions of the first kindJν(x) and for the m...
AbstractWe derive upper and lower bounds to the kth positive zero of the Bessel function of the firs...
AbstractNew sharp inequalities for the ratios of Bessel functions of consecutive orders are obtained...
In this paper we consider a sum of modified Bessel functions of the first kind of which particular c...
AbstractIn this paper, our aim is to show some mean value inequalities for the modified Bessel funct...
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by ...
AbstractIn this note we offer some inequalities involving modified Bessel functions of the first kin...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
By finding linear relations among differences between two special means, the authors establish some ...
Abstract Let Wv(x)=xIv(x)/Iv+1(x) $W_{v} ( x ) =xI_{v} ( x ) /I_{v+1} ( x ) $ with Iv $I_{v}$ be the...
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then...
AbstractWe systematically investigate lower and upper bounds for the modified Bessel function ratio ...
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