Let be an increasing nonconstant sequence of positive real numbers. Under certain conditions on this sequence we prove the following inequalityPeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/42453/1/31380179.pd
AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all ...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
AbstractUsing the mathematical induction and Cauchy's mean-value theorem, for any positive number r,...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
AbstractThe inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are b...
Some inequalities for the moments of discrete uniform distributions are obtained. The inequalities f...
A general method is presented to obtain strong laws of large numbers. Then it is applied for certai...
AbstractA generalization of Alzer's inequality is proved. It is shown that this inequality is satisf...
In this article, using inequality between logarithmic mean and one-parameter mean, which can be dedu...
AbstractWe prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are give...
We study certain sequences involving sums of powers of positive integers and in connection with thi...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techn...
AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all ...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
AbstractUsing the mathematical induction and Cauchy's mean-value theorem, for any positive number r,...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
AbstractThe inequalities[formula]hold for all real numbersx≠0. The constants 1/(2ζ(3)) and 1/6 are b...
Some inequalities for the moments of discrete uniform distributions are obtained. The inequalities f...
A general method is presented to obtain strong laws of large numbers. Then it is applied for certai...
AbstractA generalization of Alzer's inequality is proved. It is shown that this inequality is satisf...
In this article, using inequality between logarithmic mean and one-parameter mean, which can be dedu...
AbstractWe prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are give...
We study certain sequences involving sums of powers of positive integers and in connection with thi...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techn...
AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all ...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
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