DOIAbstract
AbstractWe prove: If 0≤a1≤a2≤···≤aNandAn=∑ni=1ai, then ∑Nn=1anA2n[∑Nm=na3/2m]2≤2∑Nn=1a2nA4n. G. Bennett had proved this result, but with the factor “4” instead of “2.
AbstractWe prove: If 0≤a1≤a2≤···≤aNandAn=∑ni=1ai, then ∑Nn=1anA2n[∑Nm=na3/2m]2≤2∑Nn=1a2nA4n. G. Bennett had proved this result, but with the factor “4” instead of “2.
AbstractIn this note, it is shown that the Hardy–Hilbert inequality for double series can be improve...
AbstractIn this paper we obtain a multi-dimensional analogue of the Hardy–Littlewood theorem on Four...
AbstractIn the present paper we establish some new inequalities similar to certain extensions of Hil...
AbstractIn the present article we establish some new inequalities similar to Hilbert's inequality in...
AbstractThe aim of the present paper is to show that there are monotonic continuous functionsh(t),k(...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
AbstractIn this paper we prove some known and new inequalities using an elementary inequality and so...
Abstract1proposed the following conjecture: Assume that α∈(0,1)∪(1,∞). Show that the equationxn+1=α+...
AbstractIn this paper, we obtain some new Hardy type integral inequalities. These inequalities gener...
AbstractThe principal result of this paper is the following Markov-type inequality for Müntz polynom...
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...
AbstractIn this paper, the weight coefficient of the formπ−θ(n)/2n+1(with θ(n)>0) is introduced. Imp...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
AbstractWe consider the double power series[formula]with coefficientsajk≥0 for alljandk. Among other...
AbstractIn this note, it is shown that the Hardy–Hilbert inequality for double series can be improve...
AbstractIn this paper we obtain a multi-dimensional analogue of the Hardy–Littlewood theorem on Four...
AbstractIn the present paper we establish some new inequalities similar to certain extensions of Hil...
AbstractIn the present article we establish some new inequalities similar to Hilbert's inequality in...
AbstractThe aim of the present paper is to show that there are monotonic continuous functionsh(t),k(...
AbstractWe prove that ifa0,a1,…,anare real numbers, then∫0π|12a0+∑k=1nakcos(kx)|dx/∫0π|12+∑k=1ncos(k...
AbstractIn this paper we prove some known and new inequalities using an elementary inequality and so...
Abstract1proposed the following conjecture: Assume that α∈(0,1)∪(1,∞). Show that the equationxn+1=α+...
AbstractIn this paper, we obtain some new Hardy type integral inequalities. These inequalities gener...
AbstractThe principal result of this paper is the following Markov-type inequality for Müntz polynom...
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...
AbstractIn this paper, the weight coefficient of the formπ−θ(n)/2n+1(with θ(n)>0) is introduced. Imp...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
AbstractWe consider the double power series[formula]with coefficientsajk≥0 for alljandk. Among other...
AbstractIn this note, it is shown that the Hardy–Hilbert inequality for double series can be improve...
AbstractIn this paper we obtain a multi-dimensional analogue of the Hardy–Littlewood theorem on Four...
AbstractIn the present paper we establish some new inequalities similar to certain extensions of Hil...
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