Search Results - "Kajántó, Sándor"

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  1. 1

    Rellich inequalities via Riccati pairs on model space forms by Kajántó, Sándor

    “…We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon…”
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    Journal Article
  2. 2

    Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case by Kajántó, Sándor, Kristály, Alexandru

    Published in Optimization (01-11-2024)
    “…In this paper we investigate the Riemannian extensibility of saturation phenomena treated first in the Euclidean framework by Brandolini et al. [Sharp…”
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  3. 3

    A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities by Kajántó, Sándor, Kristály, Alexandru, Peter, Ioan Radu, Zhao, Wei

    Published in Mathematische annalen (2024)
    “…We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new…”
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    Journal Article
  4. 4

    Unexpected Behaviour of Flag and S-Curvatures on the Interpolated Poincaré Metric by Kajántó, Sándor, Kristály, Alexandru

    Published in The Journal of geometric analysis (01-10-2021)
    “…We endow the disc D = { ( x 1 , x 2 ) ∈ R 2 : x 1 2 + x 2 2 < 4 } with a Poincaré-type Randers metric F λ , λ ∈ [ 0 , 1 ] that ’linearly’ interpolates between…”
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    Journal Article
  5. 5

    Universality in the coarse-grained fluctuations for a class of linear dynamical systems by Kajántó, Sándor, Néda, Zoltán

    Published in Physica A (01-08-2018)
    “…The overdamped dynamics of linearly coupled elements are studied in the stochastic force-field of a reservoir. The stable equilibrium state is fixed by the…”
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  6. 6

    On the Conditions of Fixed-Point Theorems Concerning F-Contractions by Kajántó, Sándor, Lukács, Andor

    Published in Resultate der Mathematik (01-06-2018)
    “…We prove a fixed-point theorem that generalizes and simplifies a number of results in the theory of F -contractions. We show that all of the previously imposed…”
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    Journal Article
  7. 7
  8. 8

    Rellich inequalities via Riccati pairs on model space forms by Kajántó, Sándor

    Published 20-07-2023
    “…We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon…”
    Get full text
    Journal Article
  9. 9

    Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds by Farkas, Csaba, Kajántó, Sándor, Kristály, Alexandru

    Published 06-07-2023
    “…The goal of this paper is to provide sharp spectral gap estimates for problems involving higher-order operators (including both the clamped and buckling plate…”
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    Journal Article
  10. 10

    A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities by Kajántó, Sándor, Kristály, Alexandru, Peter, Ioan Radu, Zhao, Wei

    Published 17-03-2023
    “…We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new…”
    Get full text
    Journal Article
  11. 11

    On possible generalisations of quasi-contractions by Cseh, Tünde, Kajántó, Sándor, Lukács, Andor

    Published 23-03-2021
    “…This paper investigates whether some fixed point theorems for quasi-contractions on metric spaces introduced by \`Cir\`ic in [1] and generalised by Kumam et…”
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  12. 12

    On the conditions of fixed-point theorems concerning $F$-contractions by Kajántó, Sándor, Lukács, Andor

    Published 25-09-2017
    “…Results Math (2018) 73: 82 We prove a fixed-point theorem that generalises and simplifies a number of results in the theory of $F$-contractions. We show that…”
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    Journal Article
  13. 13

    A note on the paper "Contraction mappings in $b$-metric spaces" by Czerwik by Kajántó, Sándor, Lukács, Andor

    Published 25-09-2017
    “…Acta Univ. Sapientiae Math. 10(1) 2018, 85-90 In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction…”
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