AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r a positive number. In this paper, we prove An open problem proposed in [1], which concerns the sequence of natural numbers and might be a generalization of Alzer's inequality, is shown to be a special case of our second result. Relative results are also given
In this paper, we study some inequalities involving the symmetric means. The main result is a proof...
Copyright c©2014 Jian Shi. This is an open access article distributed under the Creative Commons Att...
AbstractThis paper deals with a new generalized and sharp version of Jordan’s inequality which is a ...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
AbstractA generalization of Alzer's inequality is proved. It is shown that this inequality is satisf...
Abstract. Let {an}∞n=1 be an increasing sequence of positive real numbers. Under certain conditions ...
AbstractUsing the mathematical induction and Cauchy's mean-value theorem, for any positive number r,...
n=1 be a positive, strictly increasing, and logarithmically concave sequence satisfying (an+1/an) n ...
Discussing a series of inequalities, B. Bollobás reminds us in [3] that Harald Bohr wrote: “All ana...
AbstractWe prove the following results: (i) Let p⩾1 be a real number and let n⩾2 be an integer. If (...
AbstractThis note gives a short alternative proof of one of the inequalities in an article by H. Alz...
Abstract. Let f be a strictly increasing convex (or concave) functions on (0, 1], then, for k being ...
Abstract. If the sequence {ai} i=1 satisfies △ai = ai+1 − ai> 0, △ 2ai = △(△ai) = ai+2 − 2ai+1 +...
By using a method of [5] we obtain a simpler proof of a result of Chao-Ping Chen and Feng Qi [2]. B...
AbstractIn this paper, we study some inequalities involving the symmetric means. The main result is ...
In this paper, we study some inequalities involving the symmetric means. The main result is a proof...
Copyright c©2014 Jian Shi. This is an open access article distributed under the Creative Commons Att...
AbstractThis paper deals with a new generalized and sharp version of Jordan’s inequality which is a ...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
AbstractA generalization of Alzer's inequality is proved. It is shown that this inequality is satisf...
Abstract. Let {an}∞n=1 be an increasing sequence of positive real numbers. Under certain conditions ...
AbstractUsing the mathematical induction and Cauchy's mean-value theorem, for any positive number r,...
n=1 be a positive, strictly increasing, and logarithmically concave sequence satisfying (an+1/an) n ...
Discussing a series of inequalities, B. Bollobás reminds us in [3] that Harald Bohr wrote: “All ana...
AbstractWe prove the following results: (i) Let p⩾1 be a real number and let n⩾2 be an integer. If (...
AbstractThis note gives a short alternative proof of one of the inequalities in an article by H. Alz...
Abstract. Let f be a strictly increasing convex (or concave) functions on (0, 1], then, for k being ...
Abstract. If the sequence {ai} i=1 satisfies △ai = ai+1 − ai> 0, △ 2ai = △(△ai) = ai+2 − 2ai+1 +...
By using a method of [5] we obtain a simpler proof of a result of Chao-Ping Chen and Feng Qi [2]. B...
AbstractIn this paper, we study some inequalities involving the symmetric means. The main result is ...
In this paper, we study some inequalities involving the symmetric means. The main result is a proof...
Copyright c©2014 Jian Shi. This is an open access article distributed under the Creative Commons Att...
AbstractThis paper deals with a new generalized and sharp version of Jordan’s inequality which is a ...
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