On some new Hardy‐type inequalities
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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;
Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals
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DOI: 10.1002/mma.6712
Abstract: In this paper, we define interval‐valued left‐sided and right‐sided generalized fractional double integrals. We establish inequalities of Hermite‐Hadamard like for coordinated interval‐valued convex functions by applying our newly defined integrals. read more here.
Keywords: generalized fractional; hermite hadamard; type inequalities; hadamard type ... See more keywords
On maximum principles for solutions to nonlinear elliptic ODEs and radial solutions to nonlinear elliptic PDE's via Opial‐type inequalities
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DOI: 10.1002/mma.7055
Abstract: We consider degenerated nonlinear PDE of elliptic type: −div(a(|x|)|∇w(x)|p−2∇w(x))+h|x|,w(x),∇w(x),x|x|=ϕ(w(x)), a.e. in the ball in ℝn . Using the argument based on Opial‐type inequalities, we investigate qualitative properties of their radial solutions, like, for example, the… read more here.
Keywords: radial solutions; solutions nonlinear; type inequalities; opial type ... See more keywords
Some weighted Ostrowski‐type inequalities for differentiable preinvex functions
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DOI: 10.1002/mma.7751
Abstract: In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski‐type inequalities for functions whose modulus of the first derivatives are preinvex, which the obtained results represent… read more here.
Keywords: inequalities differentiable; ostrowski type; weighted ostrowski; type inequalities ... See more keywords
Reilly-Type Inequalities for the First Eigenvalue of p-Laplacian of Submanifolds in Minkowski Spaces
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DOI: 10.1007/s00009-017-1005-8
Abstract: In this paper, we give an upper bound for the first eigenvalue of the p-Laplacian of Finsler submanifolds in Minkowski spaces. Our results extend those of Wu (Ann Glob Anal Geom 29:95–102, 2006), and Du… read more here.
Keywords: first eigenvalue; minkowski spaces; eigenvalue laplacian; reilly type ... See more keywords
Generalizations of Bernstein and Turán-Type Inequalities for the Polar Derivative of a Complex Polynomial
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DOI: 10.1007/s00009-019-1446-3
Abstract: The goal of this paper is to extend to the polar derivatives some previous inequalities between the $$L^\gamma $$-norms of the derivative and of the polynomial itself, in case when the zeros are outside or… read more here.
Keywords: polar derivative; generalizations bernstein; tur type; bernstein tur ... See more keywords
On the Constants in Videnskiĭ Type Inequalities for Bernstein Operators
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DOI: 10.1007/s00025-017-0707-3
Abstract: This paper deals with the approximation of functions by Bernstein operators. Specifically, the interest is mainly focused on the constants in Videnskiĭ type inequalities, which turn out to be quantitative versions of the well known… read more here.
Keywords: bernstein operators; videnski type; inequalities bernstein; constants videnski ... See more keywords
On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function
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DOI: 10.1007/s00025-019-0960-8
Abstract: In this work, we first establish Hermite–Hadamard–Fejer type inequalities for convex function involving fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann–Liouville fractional integrals and… read more here.
Keywords: type inequalities; inequalities convex; respect another; fractional integrals ... See more keywords
New Kantorovich type inequalities for negative parameters
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DOI: 10.1007/s10476-020-0055-5
Abstract: We show the following result: Let A,B ∈ B (H) be two strictly positive operators such that A ≤ B and m1H ≤ B ≤ M1H for some scalars 0 < m < M .… read more here.
Keywords: new kantorovich; kantorovich type; inequalities negative; type inequalities ... See more keywords
Logconcavity, twice-logconcavity and Turán-type inequalities
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DOI: 10.1007/s10479-018-2923-y
Abstract: This paper presents a brief review of the logconcavity of some compound distributions and its relationship to Turán-type inequalities. Further, we introduce a new concept of twice-logconcavity (twice-logconvexity) and show that many discrete probability distributions… read more here.
Keywords: logconcavity; tur type; logconcavity twice; type inequalities ... See more keywords
Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
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DOI: 10.1007/s11117-021-00810-z
Abstract: In this paper, we study Sobolev type inequalities for fractional maximal functions in the half space. We also discuss Sobolev type inequalities for Green potentials in the half space. read more here.
Keywords: inequalities fractional; type inequalities; green potentials; fractional maximal ... See more keywords