Abstract
In this paper, we use Taylor’s formula to prove new Hardy-type inequalities involving convex functions. We give new results that involve the Hardy–Hilbert inequality, Pólya–Knopp inequality and bounds for the identity related to the Hardy-type functional. At the end, mean value theorems of Cauchy type are given.
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Articles in the same Issue
- Mathematica Slovaca
- Expanding Lattice Ordered Abelian Groups to Riesz Spaces
- Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials
- Quartic Polynomials with a Given Discriminant
- Joint Approximation by Dirichlet L-Functions
- Generalizations of Hardy Type Inequalities by Taylor’s Formula
- Certain Estimates of Normalized Analytic Functions
- Oscillation of Second Order Delay Differential Equations with Nonlinear Nonpositive Neutral Term
- Existence and Multiplicity of Radially Symmetric k-Admissible Solutions for Dirichlet Problem of k-Hessian Equations
- Existence and Asymptotic Periodicity of Solutions for Neutral Integro-Differential Evolution Equations with Infinite Delay
- Approximation Properties of λ-Bernstein-Kantorovich-Stancu Operators
- A Korovkin Type Approximation Theorem For Balázs Type Bleimann, Butzer and Hahn Operators via Power Series Statistical Convergence
- Hyperbolic Geometry For Non-Differential Topologists
- Set Star-Menger and Set Strongly Star-Menger Spaces
- Some Characterizations of Mixed Renewal Processes
- The U Family of Distributions: Properties and Applications
- A New Method for Generalizing Burr and Related Distributions
- On Mahler's Classification of Formal Power Series Over a Finite Field