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Displaying 41 – 53 of 53

Transferring monotonicity in weighted norm inequalities.

Gord Sinnamon (2003)

Collectanea Mathematica

Certain weighted norm inequalities for integral operators with non-negative, monotone kernels are shown to remain valid when the weight is replaced by a monotone majorant or minorant of the original weight. A similar result holds for operators with quasi-concave kernels. To prove these results a careful investigation of the functional properties of the monotone envelopes of a non-negative function is carried-out. Applications are made to function space embeddings of the cones of monotone functions...

Turán-type inequalities for some $q$ -special functions.

Brahim, Kamel (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Two inequalities for means.

Sandor, J. (1995)

International Journal of Mathematics and Mathematical Sciences

Two inequalities for series and sums

Horst Alzer (1995)

Mathematica Bohemica

In this paper we refine an inequality for infinite series due to Astala, Gehring and Hayman, and sharpen and extend a Holder-type inequality due to Daykin and Eliezer.

Two inequalities of simpson type for quasi-convex functions and applications.

Alomari, Mohammad, Hussain, Sabir (2011)

Applied Mathematics E-Notes [electronic only]

Two mappings associated with Jensen's inequality.

Sever Silvestru Dragomir (1993)

Extracta Mathematicae

Two mappings related to Minkowski's inequalities.

Ma, Xiu-Fen, Wang, Liang-Cheng (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Two new algebraic inequalities with $2 n$ variables.

Chu, Xiao-Guang, Zhang, Cheng-En, Qi, Feng (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Two new mappings associated with inequalities of Hadamard-type for convex functions.

He, Lan (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Two sharp inequalities of Simpson type and applications.

Ujević, Nenad (2004)

Georgian Mathematical Journal

Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform

Benjamin Muckenhoupt, Richard Wheeden (1976)

Studia Mathematica

Two-parameter Hardy-Littlewood inequality and its variants

Chang-Pao Chen, Dah-Chin Luor (2000)

Studia Mathematica

Let s* denote the maximal function associated with the rectangular partial sums $s_{m n} (x, y)$ of a given double function series with coefficients $c_{j k}$ . The following generalized Hardy-Littlewood inequality is investigated: ${| | s * | |}_{p, μ} \leq C_{p, α, β} {Σ_{j = 0}^{\infty} Σ_{k = 0}^{\infty} {(j ̅)}^{p - α - 2} {(k ̅)}^{p - β - 2} {| c_{j k} |}^{p}}^{1 / p}$ , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on $c_{j k}$ and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property of $s_{m n} (x, y)$ ...

Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function

Tibor K. Pogány, Živorad Tomovski, Delčo Leškovski (2013)

Matematički Vesnik

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