Converse Ohlin’s lemma for convex and strongly convex functions
-
Mirosław Adamek
and
Kazimierz Nikodem
Abstract
Theorems which are converse to the Ohlin lemma for convex and strongly convex functions are proved. New proofs of probabilistic characterizations of convex and strongly convex functions are presented.
References
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Articles in the same Issue
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
Articles in the same Issue
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
