Some inverse mapping theorems
Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions.
Some new inequalities for means of two arguments.
Some new results related to Favard's inequality.
Some properties of the ring of Nash functions
Some recent results concerning weak Asplund spaces
Some remarks about a notion of rearrangement
Some representations of midconvex set-valued functions.
Some results on stability and on characterization of K-convexity of set-valued functions
We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
Some spaces of double difference sequences of fuzzy numbers
Spaces of D-paraanalytic elements [Book]
Spline Subdivision Schemes for Compact Sets. A Survey
Dedicated to the memory of our colleague Vasil Popov January 14, 1942 – May 31, 1990 * Partially supported by ISF-Center of Excellence, and by The Hermann Minkowski Center for Geometry at Tel Aviv University, IsraelAttempts at extending spline subdivision schemes to operate on compact sets are reviewed. The aim is to develop a procedure for approximating a set-valued function with compact images from a finite set of its samples. This is motivated by the problem of reconstructing a 3D object from...
Stability and stabilizability for means.
Stolarsky means of several variables.
Sum and product of the modified real fuzzy numbers
Supplement to the paper "Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices" (Ann. Polon. Math. 101 (2011), 275-291)
In IMUJ Preprint 2009/05 we investigated the quasianalytic perturbation of hyperbolic polynomials and symmetric matrices by applying our quasianalytic version of the Abhyankar-Jung theorem from IMUJ Preprint 2009/02, whose proof relied on a theorem by Luengo on ν-quasiordinary polynomials. But those papers of ours were suspended after we had become aware that Luengo's paper contained an essential gap. This gave rise to our subsequent article on quasianalytic perturbation theory, which developed,...
Sur la division et la composition dans des classes ultradifférentiables
We generalize to some classes of ultradifferentiable jets or functions the classical Łojasiewicz Division Theorem and Glaeser Composition Theorem. The proof uses the desingularization results by Hironaka, Bierstone and Milman.
Sur la factorialité des anneaux de fonctions de Nash.
Sur le théorème de division de Weierstrass
We prove a Weierstrass division formula for Whitney jets ∂̅-flat on arbitrary compact subsets of the complex plane. We also give results for Carleman classes.
Sur un espace complet de champs tayloriens réguliers