AbstractIn the paper, a new and elegant lower bound in the second Kershaw's double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly monotonic and logarithmically completely monotonic, and some remarks and comparisons are stated
A new proof for monotonicity and convexity of a function deduced\ud from Kershaw’s inequality involv...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, a new and elegant lower bound in the second Kershaw’s\ud double inequality is establis...
AbstractIn the paper, a new upper bound in the second Kershaw's double inequality involving ratio of...
In the paper, new upper bounds in the second Kershaw’s double\ud inequality and its generalizations ...
In the paper, the second Kershaw’s double inequality concerning\ud ratio of two gamma functions is r...
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations in...
AbstractIn the article, the logarithmically complete monotonicity of a class of functions involving ...
In the article, the logarithmically complete monotonicity of a class of functions involving the Eul...
In the article, the logarithmically complete monotonicity of a class\ud of functions involving the E...
In the article, the sufficient and necessary conditions such that a\ud class of functions which invo...
In the article, the sufficient and necessary conditions such that a class of functions which involv...
AbstractIn the paper, a new upper bound in the second Kershaw's double inequality involving ratio of...
AbstractIn the paper, a new and elegant lower bound in the second Kershaw's double inequality is est...
A new proof for monotonicity and convexity of a function deduced\ud from Kershaw’s inequality involv...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, a new and elegant lower bound in the second Kershaw’s\ud double inequality is establis...
AbstractIn the paper, a new upper bound in the second Kershaw's double inequality involving ratio of...
In the paper, new upper bounds in the second Kershaw’s double\ud inequality and its generalizations ...
In the paper, the second Kershaw’s double inequality concerning\ud ratio of two gamma functions is r...
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations in...
AbstractIn the article, the logarithmically complete monotonicity of a class of functions involving ...
In the article, the logarithmically complete monotonicity of a class of functions involving the Eul...
In the article, the logarithmically complete monotonicity of a class\ud of functions involving the E...
In the article, the sufficient and necessary conditions such that a\ud class of functions which invo...
In the article, the sufficient and necessary conditions such that a class of functions which involv...
AbstractIn the paper, a new upper bound in the second Kershaw's double inequality involving ratio of...
AbstractIn the paper, a new and elegant lower bound in the second Kershaw's double inequality is est...
A new proof for monotonicity and convexity of a function deduced\ud from Kershaw’s inequality involv...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...