Search Results - "Bessenyei, Mihály"
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Peano property, two dimensional triangles, constant curvature
Published in Journal of mathematical analysis and applications (01-10-2023)“…In the present note, we discuss the connection of the convex geometric and the analytic properties of the underlying manifold. As an application of the main…”
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2
Generalized fractals in semimetric spaces
Published in Nonlinear analysis (01-07-2022)“…The aim of the present paper is to extend the classical fractal theory using condensing maps and generalized contractions of semimetric spaces. Our method is…”
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3
Axiomatic and algebraic convexity of regular pairs
Published in Journal of geometry (01-04-2018)“…Two dimensional Chebyshev systems, quoted also as regular pairs, induce convex structures both in an axiomatic and in an algebraic way. The aim of this note is…”
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The contraction principle in extended context
Published in Publicationes mathematicae (Debrecen) (01-01-2016)Get full text
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A sandwich with segment convexity
Published in Journal of mathematical analysis and applications (01-08-2021)“…The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan–Hadamard…”
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The Hermite–Hadamard inequality in Beckenbach's setting
Published in Journal of mathematical analysis and applications (15-04-2010)“…The classical Hermite–Hadamard inequality gives a lower and an upper estimations for the integral average of convex functions defined on compact intervals,…”
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7
Hutchinson without Blaschke: An alternative way to fractals
Published in Expositiones mathematicae (01-03-2021)“…The original approach of Hutchinson to fractals considers the defining equation as a fixed point problem, and then applies the Banach Contraction Principle. To…”
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Nonlinear quasicontractions in complete metric spaces
Published in Expositiones mathematicae (01-01-2015)“…Two essential extensions of the Banach Fixed Point Theorem are due to Lj.B. Ćirić and J. Matkowski. The first author obtained fixed point result for linear…”
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9
Fractals for minimalists
Published in Aequationes mathematicae (01-06-2020)“…The aim of this note is to present an elementary way to fractals which completely avoids advanced analysis and uses purely naive set theory. The approach…”
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Applications of the Bielecki renorming technique
Published in Journal of fixed point theory and applications (01-05-2021)“…The renorming technique allows one to apply the Banach Contraction Principle for maps which are not contractions with respect to the original metric. This…”
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Convex structures induced by Chebyshev systems
Published in Indagationes mathematicae (01-12-2017)“…Recent developments have clarified that some tools of Convex Geometry are closely related to separation theorems obtained in the field of Functional…”
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12
The Hermite-Hadamard Inequality on Simplices
Published in The American mathematical monthly (01-04-2008)“…Hadamard's inequality, or as it is also cited for historical reasons, the classical Hermite-Hadamard inequality, provides a lower and an upper estimation for…”
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13
Convexity without convex combinations
Published in Journal of geometry (01-04-2016)“…Separation theorems play a central role in the theory of Functional Inequalities. The importance of Convex Geometry has led to the study of convexity…”
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14
Functional Equations and Finite Groups of Substitutions
Published in The American mathematical monthly (01-12-2010)“…Motivated by a method of solving certain functional equations arising in competition problems, we investigate a class of functional equations, giving…”
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15
Convex separation by regular pairs
Published in Journal of geometry (01-04-2013)“…It is known that the existence of a convex (resp., concave) separator between two given functions can be characterized via a simple inequality. The notion of…”
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16
Functional equations and group substitutions
Published in Linear algebra and its applications (15-03-2011)“…Motivated by some investigations of Babbage and a method of solving certain functional equations arising in competition problems, we investigate a class of…”
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17
Solving functional equations via finite substitutions
Published in Aequationes mathematicae (01-06-2013)“…In this paper, we study single variable functional equations that involve one unknown function and a finite set of known functions that form a group under the…”
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18
Functional equations on finite groups of substitutions
Published in Expositiones mathematicae (2012)“…Motivated by some investigations of Babbage, we study a class of single variable functional equations. These are functional equations involving one unknown…”
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19
Hermite?Hadamard inequalities for generalized convex functions
Published in Aequationes mathematicae (01-03-2005)“…Applying some fundamental results concerning moment spaces induced by Tcheby-chev systems, we establish Hermite-Hadamard type inequalities for generalized…”
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20
Functional Equations and Finite Groups of Substitutions
Published in The American mathematical monthly (01-12-2010)Get full text
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