AbstractIn this paper we establish some new generalizations of Aczél’s inequality and of Bellman’s inequality; we will conclude by presenting some refinements of these inequalities
AbstractBy introducing two pairs of conjugate exponents and estimating the weight coefficients, we g...
In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a ref...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractA new generalized version of Aczél’s inequality is proved. This is a unified generalization ...
AbstractIn this paper, we show several new generalized and sharpened versions of Aczél’s inequality ...
AbstractIn this paper, splitting finite sums, refinements of the inequalities of Aczél, Popoviciu an...
AbstractIn this paper, we prove a generalization of Aczél’s inequality. The obtained inequalities ex...
A double inequality involving the constant e is proved by using an inequality between the logarithmi...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreas...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractBy introducing two pairs of conjugate exponents and estimating the weight coefficients, we g...
In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a ref...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractA new generalized version of Aczél’s inequality is proved. This is a unified generalization ...
AbstractIn this paper, we show several new generalized and sharpened versions of Aczél’s inequality ...
AbstractIn this paper, splitting finite sums, refinements of the inequalities of Aczél, Popoviciu an...
AbstractIn this paper, we prove a generalization of Aczél’s inequality. The obtained inequalities ex...
A double inequality involving the constant e is proved by using an inequality between the logarithmi...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreas...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractBy introducing two pairs of conjugate exponents and estimating the weight coefficients, we g...
In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a ref...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
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