Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Ladislav Matejíčka"'
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-12 (2018)
Abstract In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function.
Externí odkaz:
https://doaj.org/article/d4e73a69646248b39b425c7b193f0c0e
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-13 (2018)
Abstract In this paper, we prove one inequality with power functions. A simplified form of the inequality was published as the problem 12024-02 in the American Mathematical Monthly.
Externí odkaz:
https://doaj.org/article/d9d6b635609d448ebcc62a1de1f38e2c
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-10 (2017)
Abstract In this paper, we classify sets of solutions of the next generalized Cîrtoaje’s inequality and its reverse, respectively.
Externí odkaz:
https://doaj.org/article/7a7b444162324f1a8f62d50e09e0fc42
Autor:
Ladislav Matejíčka
Publikováno v:
Surveys in Mathematics and its Applications, Vol 12 (2017), Pp 1-6 (2017)
In this paper, we give a classification of points under which the generalization of Cîrtoaje's inequality or the reverse inequality are valid.
Externí odkaz:
https://doaj.org/article/511ae256fe894178b489d1c574cd6fa1
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-11 (2016)
Abstract In this paper, we give new conditions under which the Cîrtoaje’s conjecture is also valid. We also show that a certain generalization of the Cîrtoaje’s inequality fulfils an interesting property.
Externí odkaz:
https://doaj.org/article/409cf5287e1b4646981f93ff656eab4a
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-6 (2016)
Abstract In this paper, we prove the Cîrtoaje conjecture under other conditions.
Externí odkaz:
https://doaj.org/article/276d621eeffe49c1812bc4ea385b1461
Autor:
Ladislav Matejíčka
Publikováno v:
Mathematics, Vol 8, Iss 6, p 1031 (2020)
In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ ( x ) denotes the logarithmic
Externí odkaz:
https://doaj.org/article/bdc42c399ca04b2fb125a856f897cd5c
Autor:
Ladislav Matejíčka
Publikováno v:
Mathematics, Vol 8, Iss 4, p 537 (2020)
In this paper, we show that the functions x m | β ( m ) ( x ) | are not completely monotonic on ( 0 , ∞ ) for all m ∈ N , where β ( x ) is the Nielsen’s β -function and we prove the functions x m − 1 | β ( m ) ( x ) | and x m − 1 | ψ (
Externí odkaz:
https://doaj.org/article/15b6bf19ec844bd086aff35bd00e3d33
Autor:
Ladislav Matejíčka
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality, , ho
Externí odkaz:
https://doaj.org/article/2a0a34fffbce4384bf2d3065546fddaf
Autor:
Ladislav Matejíčka
Publikováno v:
Journal of Inequalities and Applications, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/dfaf793e5b434ff28c967b4b0d54372f