Keywords: 26D10; 46E30; Hardy operator; Dual operator; Best constants; Decreasing functions;
مقالات ISI (ترجمه نشده)
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Keywords: 26D10; 47D07; 60J25; 60J60; (In)homogeneous Markov processes; Functional inequalities; Rate of convergence; Total variation distance;
Keywords: piecewise constant argument of generalized type; hybrid equations; equivalence; asymptotic behavior; Gronwall's inequality; 34A36; 34C41; 35M10; 26D10;
Keywords: primary; 35A23; 35J20; 35J75; secondary; 46E35; 26D10; 35J60; Hardy inequality; Boundary singularity; Sobolev inequality; Maximal potential; Best constant; Conformality;
Keywords: 26D10; 31A; 31B; 28A35; 60E15; 82B44; 28C15; Coulomb gas; Ginibre ensemble; Wasserstein distance; Concentration of measure;
Keywords: primary; 26D10; 34A40; 35A23; secondary; 34L10; Hardy's inequality; Rellich's inequality; Birman's inequalities; Cesà ro averaging operators; Mellin transform;
Keywords: Gronwall-Bellman inequality; Retarded integral and differential equations; Volterra-Fredholm integral equation; 26D10; 26D15; 26D20; 34A12; 34A40;
Keywords: Navier-Stokes equations; Inequalities; Sobolev spaces; 76D05; 26D10; 46E35;
A stroll along the gamma
Keywords: 60E15; 26D10; 60B10; De Bruijn identity; Entropy; Fisher information; Gamma approximation; Semigroup interpolation; Smart path; Representation formulae;
Keywords: 26D10; 39B62; 47D07; 60G10; 60J60; Lyapunov functions; Hitting times; Uniform ergodicity; F-Sobolev inequalities;
Keywords: 60E15; 32F32; 26D10; Duality; Transport inequalities; Logarithmic-Sobolev inequalities; Metric spaces;
Keywords: Grüss inequality; ÄebyÅ¡ev inequality; Local fractional integrals; 26D07; 26D10; 26D15; 26A33;
Keywords: 26D10; 26D15; 26D20; 34A12; 34A40Integral inequality; Analysis technique; Estimation; Retarded integral and differential equation
Keywords: 47A07; 26D10; 26D15Hilbert inequality; Hölder inequality; Hardy inequality
Keywords: primary; 26B25; 26D10; 52A20; Log-concave functions; Convex bodies; Area measure; Isoperimetric inequality; Log-Sobolev inequality; Minkowski's problem;
Keywords: Hilbert inequality; Hölder inequality; Hadamard’s inequality; Beta function26D15; 26D07; 26D10
Keywords: primary; 46E35; secondary; 26D10; 26A33; Fractional Gagliardo-Nirenberg; Sobolev inequalities;
Improved Moser-Trudinger type inequalities in the hyperbolic space Hn
Keywords: 26D10; 46E35; Moser-Trudinger inequality; Exact growth; Hyperbolic space; Rearrangement; Sharp constant;
On a Lâ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity
Keywords: 35K58; 26D10; 35B45; Semi-linear parabolic PDE; Functional derivative estimate;
Hermite-Hadamard-Fejér type inequalities for p-convex functions
Keywords: Hermite-Hadamard inequalities; Hermite-Hadamard-Fejér inequalities; Convex functions; Harmonically convex functions; p-Convex functions; 26A51; 26A33; 26D10;
Improved Moser-Trudinger inequality for functions with mean value zero in Rn and its extremal functions
Keywords: 46E35; 26D10; Moser-Trudinger inequality; Blow-up analysis; Sharp constant; Extremal functions; Elliptic estimates;
A new multicomponent Poincaré-Beckner inequality
Keywords: 26D10; 49Q20; 52B11; 58B20; Poincaré inequalities; Coarea formula; Optimal transport; Gradient flow;
Embeddings of Lorentz-type spaces involving weighted integral means
Keywords: 46E30; 47G10; 47B38; 26D10; Weighted inequalities; Iterated operators; Classical Lorentz spaces; Embeddings;
Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
Keywords: 26D10; 46E35; 31C12; Hyperbolic space; Poincaré-Hardy inequalities; Poincaré-Rellich inequalities; Improved Hardy inequalities on manifolds;
Generalized Pompeiu type inequalities for local fractional integrals and its applications
Keywords: 26D10; 26D15; 26A33; Pompeiu's mean value theorem; Local fractional integral; Fractal space; Numerical integration; Special means;
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
Keywords: 26D10; 35K65; 35B65; 60K37Nash inequality; Heat kernel; Diffusion in dynamic random medium
Some trace Hardy type inequalities and trace Hardy–Sobolev–Maz'ya type inequalities
Keywords: 26D10; 46E35Trace Hardy type inequality; Trace Hardy–Sobolev–Maz'ya type inequality; Logarithmic Hardy trace inequality; Logarithmic Sobolev trace inequality
Sharp Hardy–Littlewood–Sobolev inequalities on quaternionic Heisenberg groups
Keywords: 26D10; 35A23; 35R03; 42B37; 53C17Extremizers; Hardy–Littlewood–Sobolev inequalities; Quaternionic Heisenberg group; Conformal symmetry
Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces
Keywords: 46E30; 46E35; 47G10; 26D10; Optimal Orlicz domain; Sobolev embedding; Orlicz space; Marcinkiewicz space;
The Åojasiewicz-Simon gradient inequality for open elastic curves
Keywords: 35K52; 53A04; 26D10; Åojasiewicz-Simon gradient inequality; Elastic energy; Clamped boundary conditions; Geometric evolution equation;
On generalized Grüss type inequalities for k-fractional integrals
Keywords: kâ Reimann-Liouville fractional integral; Weighted Grüss inequality; Integral inequalities; 26A33; 26D10; 26D15;
Extensions of the Hermite–Hadamard inequality for harmonically convex functions via fractional integrals
Keywords: Hermite–Hadamard inequality; Harmonically convex functions; Fractional integrals26D15; 26D10
Corrigendum to “The sharp Sobolev and isoperimetric inequalities split twice” [Adv. Math. 211 (2) (2007) 417-435]
Keywords: primary; 26D10; 31B15; 46E35; secondary; 52A38; 53A15; 53A30; Sharpness; Analytic/geometric inequality; Volume; Surface area; Integral affine surface area; 1-variational capacity; 1-directional capacity;
Jensen-Ostrowski type inequalities and applications for f-divergence measures
Keywords: Jensen inequality; Ostrowski inequality; Divergence measure; 26D10; 26D15; 94A17;
Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications
Keywords: 26D10; 26D15Convex function; Ostrowski inequality; Jensen integral inequality; Hölder inequality; Power-mean integral inequality
A BMO estimate for stochastic singular integral operators and its application to SPDEs
Keywords: 60H15; 26D10; 42B20Stochastic singular integral operator; Stochastic partial differential equations; BMO (bounded mean oscillation) estimates
Kolmogorov's problem on the class of multiply monotone functions
Keywords: 26D10; 41A17; 47A30; 41A44; Multiply monotone; Sharp inequalities; Derivatives; Kolmogorov's problem; Moment problem; Hermite-Birkhoff interpolation; Extremal problems;
On new inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex with applications
Keywords: 26A15; 26D10; 26A51Hermite-Hadamard inequality; Quasi-convex function; Power-mean inequality
Sobolev and Hardy–Littlewood–Sobolev inequalities
Keywords: 26D10; 46E35; 35K55Sobolev inequality; Hardy–Littlewood–Sobolev inequality; Onofri's inequality; Duality; Fast diffusion equation; Best constants
Some new generalized 2D Ostrowski-Grüss type inequalities on time scales
Keywords: Ostrowski type inequality; Grüss type inequality; Time scales26E70; 26D15; 26D10
Parabolic Littlewood–Paley inequality for ϕ(−Δ)ϕ(−Δ)-type operators and applications to stochastic integro-differential equations
Keywords: 42B25; 26D10; 60H15; 60G51; 60J35Parabolic Littlewood–Paley inequality; Stochastic partial differential equations; Integro-differential operators; Lévy processes; Estimates of transition functions
The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality
Keywords: primary; 34B24; secondary; 26D10; 34L10; 47A10; 47A75; Indefinite Sturm-Liouville problem; The similarity problem; HELP inequality; Regularly varying functions; Fokker-Planck equation;
Blow-up solutions of second-order differential inequalities with a nonlinear memory term
Keywords: 26D10; 35B44; 35L71Differential inequalities; Blow-up; Semilinear second-order hyperbolic equations
Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
Keywords: 26D10; 47F05Caffarelli–Kohn–Nirenberg type inequalities; Weighted biharmonic operator; Dilation invariance; Breaking symmetry
Improved Poincaré inequalities
Keywords: 26D10; 35P15; 39B22; 39B62; 46E35Hardy inequality; Poincaré inequality; Best constant; Remainder terms; Weighted norms
A fractional differential inequality with application
Keywords: 26D10; 26D15; 42B20Bihari inequality; Ou-Iang inequality; Fractional differential inequality; Power-type decay
On best constants in Hardy inequalities with a remainder term
Keywords: 35J20; 26D10; 46E35; Hardy inequality; One-dimensional Calculus of Variations; Best constants;
Existence of solutions to some retarded integrodifferential equations via the topological transversality theorem
Keywords: 26D10; 26D15; 45J05Integral inequalities; Integrodifferential equation; Retarded equation; Topological transversality
Interpolation inequalities for derivatives in variable exponent Lebesgue–Sobolev spaces
Keywords: 26D10; 46E30; 46E35Interpolation inequality; Landau–Kolmogorov type inequality; Variable exponent Lebesgue–Sobolev space; Maximal function operator
Opial-type inequalities for differential operators
Keywords: 26D15; 26D10; 26A33Opial-type inequalities; Differential operators