On some new Hardy‐type inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6503
Abstract: In this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators S1:=(S1)gw and S2:=(S2)gw defined by S1(x)=1W(x)∫axw(t)g(f(t))dt,S2(x)=∫axw(t)W(t)g(f(t))dt, with W(x)=∫0xw(t)dt,forx∈(0,+∞), where w… read more here.
Keywords: hardy type; type inequalities; new hardy;
Hardy type inequaltiy for reproducing Kernel Hilbert space operators and related problems
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DOI: 10.1007/s11117-017-0489-6
Abstract: A Hardy type inequality for Reproducing Kernel Hilbert Space operators is proved. It is well known (see Halmos in A Hilbert space problem book. Springer, Berlin, 1982) the following power inequality for numerical radius of… read more here.
Keywords: left right; reproducing kernel; space; hilbert space ... See more keywords
Carleson Measures and Toeplitz Type Operators on Hardy Type Tent Spaces
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DOI: 10.1007/s11785-021-01113-7
Abstract: In this paper, we obtain some characterizations on Carleson measures for Hardy type tent spaces on the unit ball through products of functions. As applications, we characterize the boundedness and compactness of Toeplitz type operators… read more here.
Keywords: type operators; carleson measures; hardy type; toeplitz type ... See more keywords
Some generalizations and refined Hardy type integral inequalities
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DOI: 10.1007/s13370-016-0461-9
Abstract: In this paper, by using Jensen’s inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved. read more here.
Keywords: type integral; generalizations refined; integral inequalities; refined hardy ... See more keywords
Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space
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DOI: 10.1134/s1064562417060059
Abstract: Modular inequalities and inequalities for the norms of Hardy-type operators on the cone Ω of positive functions and on the cone of positive decreasing functions with common weight and common Young function in a weighted… read more here.
Keywords: space; type operators; operators cone; orlicz space ... See more keywords
Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
Sign Up to like & getrecommendations! Published in 2018 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm180130011r
Abstract: Applying techniques of real analysis and weight functions, we study some equivalent conditions of two kinds of the reverse Hardy-type integral inequalities with a particular nonhomogeneous kernel. The constant factors are related to the Riemann… read more here.
Keywords: type integral; integral inequalities; kinds reverse; reverse hardy ... See more keywords
A sharp Lp-Hardy type inequality on the n-sphere
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DOI: 10.2306/scienceasia1513-1874.2020.090
Abstract: where the constant ( n−p p ) p is sharp. This inequality has been studied extensively in the Euclidean spaces (see [1–3]) due to its applications in different fields such as harmonic analysis, physics, spectral… read more here.
Keywords: type inequality; inequality sphere; geometry; sharp hardy ... See more keywords
Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
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DOI: 10.3390/axioms12050434
Abstract: In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived. read more here.
Keywords: green functions; hardy type; type inequalities; generalizations hardy ... See more keywords
Equivalent Conditions of the Reverse Hardy-Type Integral Inequalities
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DOI: 10.3390/sym15020463
Abstract: Hardy-type integral inequalities play a prominent role in the study of analytic inequalities, which are essential in mathematical analysis and its various applications, such as in the study of symmetry and asymmetry phenomena. In this… read more here.
Keywords: conditions reverse; equivalent conditions; hardy type; integral inequalities ... See more keywords
Sharp L^p Hardy type and uncertainty principle inequalities on the sphere
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DOI: 10.7153/jmi-2019-13-72
Abstract: This paper studies Lp version of the Hardy type inequalities on the geodesic sphere of constant sectional curvature and establishes that the corresponding constant is sharp. Furthermore, the inequalities obtained are used to derive an… read more here.
Keywords: uncertainty principle; sharp hardy; hardy type;