Results 21 to 30 of about 891 (135)
Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators
Advances in Nonlinear Analysis, 2016 We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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Three weights higher order Hardy type inequalities
Journal of Function Spaces, Volume 4, Issue 2, Page 163-191, 2006., 2006 We investigate the following three weights higher order Hardy type inequality (0.1) ‖g‖q,u≤C‖Dρkg‖p,v where Dρi denotes the following weighted differential operator: dig(t)dti,i=01…1,,,m-,di-mdti-m(p(t)dmg(t)dtm),i=m,m+1…,,k, for a weight function ρ(·). A complete description of the weights u, v and ρ so that (0.1) holds was given in [4] for the case 1
Aigerim A. Kalybay +2 more
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Ostrowski and generalized trapezoid type inequalities on time scales
Journal of King Saud University: Science, 2020 In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g:[0,1]→[0,1].
Adnan Tuna, Eze R. Nwaeze
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The 123 theorem of Probability Theory and Copositive Matrices
Special Matrices, 2014 Alon and Yuster give for independent identically distributed real or vector valued random variablesX, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derivethese using copositive matrices instead.
Kovačec Alexander +2 more
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An inequality for first‐order differences
Journal of Function Spaces, Volume 3, Issue 2, Page 117-124, 2005., 2005 A question about comparing norms of difference operators that was raised in [1] and presented at the Fourth ISAAC Congress is answered in the affirmative.
Gord Sinnamon, Victor Burenkov
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Improved Interpolation Inequalities and Stability
Advanced Nonlinear Studies, 2020 For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities.
Dolbeault Jean, Esteban Maria J.
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On Volterra inequalities and their applications
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 3, Page 117-134, 2004., 2004 We present certain variants of two‐dimensional and n‐dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained. These results are applied in various problems for differential and integral equations.
Lechosław Hącia
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Opial type inequalities for double Riemann-Stieltjes integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1151-1158, 2004., 2004 Let h be an entire function and Th a differential operator defined by Thf = f′ + hf. We show that Th has the Hyers‐Ulam stability if and only if h is a nonzero constant. We also consider Ger‐type stability problem for |1 − f′/hf| ≤ ϵ.
Takeshi Miura +2 more
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Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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