Some new characterizations of weights for hardy-type inequalities with kernels on time scales
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Ahmed I. Saied
Abstract
In this paper, we present novel characterizations of weight functions for Hardy-type dynamic inequalities involving kernels on an arbitrary time scale 𝕋. We establish both necessary and sufficient conditions for a specific class of kernels. As a special case, when 𝕋 = ℕ, our results reduce to the classical discrete inequalities proved by Okpoti et al., while in the continuous case 𝕋 = ℝ, the resulting inequalities are essentially new.
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(Communicated by Marek Balcerzak)
References
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Articles in the same Issue
- Copies of monomorphic structures
- Endomorphism kernel property for extraspecial and special groups
- Sums of Tribonacci numbers close to powers of 2
- Multiplicative functions k-additive on hexagonal numbers
- Monogenic even cyclic sextic polynomials
- Elegant proofs for properties of normalized remainders of Maclaurin power series expansion of exponential function
- Degree of independence in non-archimedean fields
- Remarks on some one-ended groups
- Some new characterizations of weights for hardy-type inequalities with kernels on time scales
- Inequalities for Riemann–Liouville fractional integrals in co-ordinated convex functions: A Newton-type approach
- Radius estimates for functions in the class 𝒰r(λ)
- Sharp bounds on the logarithmic coefficients of inverse functions for certain classes of univalent functions
- More q-congruences from Singh’s quadratic transformation
- Stability and controllability of cycled dynamical systems
- Existence, uniqueness, and multiplicity of radially symmetric k-admissible solutions for k-hessian equations
- Strong solution of a Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows with surfactant
- Coincidence points via tri-simulation functions with an application in integral equations
- On Fong-Tsui conjecture and binormality of operators
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