Search Results - "Bessenyei, Mihály"

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  1. 1

    Peano property, two dimensional triangles, constant curvature by Bessenyei, Mihály, Kertész, Dávid Cs

    “…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. 2

    Generalized fractals in semimetric spaces by Bessenyei, Mihály, Pénzes, Evelin

    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. 3

    Axiomatic and algebraic convexity of regular pairs by Bessenyei, Mihály

    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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    A sandwich with segment convexity by Bessenyei, Mihály, Kertész, Dávid Cs, Lovas, Rezső L.

    “…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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  6. 6

    The Hermite–Hadamard inequality in Beckenbach's setting by Bessenyei, Mihály

    “…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. 7

    Hutchinson without Blaschke: An alternative way to fractals by Bessenyei, Mihály, Pénzes, Evelin

    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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  8. 8

    Nonlinear quasicontractions in complete metric spaces by Bessenyei, Mihály

    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. 9

    Fractals for minimalists by Bessenyei, Mihály, Pénzes, Evelin

    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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  10. 10

    Applications of the Bielecki renorming technique by Bessenyei, Mihály, Páles, Zsolt

    “…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 by Bessenyei, Mihály, Popovics, Bella

    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. 12

    The Hermite-Hadamard Inequality on Simplices by Bessenyei, Mihály

    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. 13

    Convexity without convex combinations by Bessenyei, Mihály, Popovics, Bella

    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. 14

    Functional Equations and Finite Groups of Substitutions by Bessenyei, Mihály

    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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    Convex separation by regular pairs by Bessenyei, Mihály, Szokol, Patrícia

    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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    Functional equations and group substitutions by Bessenyei, Mihály, Kézi, Csaba G.

    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. 17

    Solving functional equations via finite substitutions by Bessenyei, Mihály, Kézi, Csaba G.

    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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    Functional equations on finite groups of substitutions by Bessenyei, Mihály, Horváth, Gábor, Kézi, Csaba G.

    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. 19

    Hermite?Hadamard inequalities for generalized convex functions by Bessenyei, Mih ly, P les, Zsolt

    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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