László Horváth

ORCID: 0000-0003-0564-4991
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About
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Research Areas
  • Mathematical Inequalities and Applications
  • Functional Equations Stability Results
  • Nonlinear Differential Equations Analysis
  • Mathematics and Applications
  • Numerical methods for differential equations
  • Differential Equations and Boundary Problems
  • Mathematical functions and polynomials
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Multi-Criteria Decision Making
  • Fractional Differential Equations Solutions
  • Stability and Controllability of Differential Equations
  • Matrix Theory and Algorithms
  • Advanced Banach Space Theory
  • Advanced Differential Equations and Dynamical Systems
  • Approximation Theory and Sequence Spaces
  • Differential Equations and Numerical Methods
  • Advanced Optimization Algorithms Research
  • Contact Mechanics and Variational Inequalities
  • Optimization and Variational Analysis
  • Advanced Harmonic Analysis Research
  • Advanced Topics in Algebra
  • Stability and Control of Uncertain Systems
  • Statistical Mechanics and Entropy
  • Fixed Point Theorems Analysis
  • Point processes and geometric inequalities

University of Pannonia
2015-2025

Veszprémi Érseki Hittudományi Fõiskola
1994-2005

Environmental negotiations are complex, and conveying the interaction between science policy in traditional teaching methods is challenging. To address this issue, innovative educational approaches like serious gaming role-playing games have emerged. These allow students to actively explore roles of different stakeholders environmental decision-making weigh for instance sometimes conflicting UN Sustainable Development Goals or other dilemmas. In work phosphorus negotiation game (P-Game)...

10.1007/s43621-024-00693-6 article EN cc-by-nc-nd Discover Sustainability 2025-01-02

In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality closely related inequalities to be satisfied finite signed measures. As applications, obtain new special that are Jensen–Steffensen inequality. We also provide refinements of majorization-type associated with Using result obtained, extend a known refinement. The needed proofs interesting in themselves.

10.3390/math13030539 article EN cc-by Mathematics 2025-02-06

<title>Abstract</title> Serious games and negotiation simulations are effective tools for teaching sustainable environmental practices. The Phosphorus Negotiation Game (P-Game), originally a face-to-face simulation on phosphorus fertilizer production, engages participants in evaluating the recovery of radiotoxic uranium during production. To increase accessibility, smartphone version was developed virtual participation. This study compared self-reported knowledge gains between P-Game...

10.21203/rs.3.rs-6110762/v1 preprint EN cc-by Research Square (Research Square) 2025-03-20

This article analyses the asymptotic behaviour of solutions linear Volterra difference equations. Some sufficient conditions are presented under which to a general equation converge limits, given by limit formula. result is then used obtain exact representation class convolution scalar equations, have real characteristic roots. We give examples showing accuracy our results.

10.1155/2008/932831 article EN cc-by Advances in Difference Equations 2008-01-01

It is found that every solution of a system linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These much weaker than the known sufficient for asymptotic constancy solutions. When we impose positivity assumptions on coefficient matrices, our also necessary. The novelty results illustrated by examples.

10.1155/2010/789302 article EN cc-by Advances in Difference Equations 2010-01-01

We give a refinement of the discrete Jensen's inequality in convex and mid-convex cases.For functions our result is common generalization known inequalities.We illustrate scope results by applying them to some special situations.

10.7153/mia-14-64 article EN Mathematical Inequalities & Applications 2011-01-01

Abstract In this paper we introduce new refinements of both the discrete and classical Jensen’s inequality. First, give weighted version a recent cyclic refinement. By using result, obtain We investigate

10.1515/anly-2015-0022 article EN Analysis 2016-01-01

Abstract In this paper we derive majorization type integral inequalities using measure spaces with signed measures. We obtain necessary and sufficient conditions for the studied to be satisfied. To apply our results, first generalize Hardy–Littlewood–Pólya Fuchs inequalities. Then deal nonnegativity of some integrals nonnegative convex functions. As a consequence, known characterization Steffensen–Popoviciu measures on compact intervals is extended arbitrary intervals. Finally, give...

10.1007/s13398-023-01409-7 article EN cc-by Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 2023-03-02

10.1016/j.mcm.2011.05.060 article EN publisher-specific-oa Mathematical and Computer Modelling 2011-06-20

The present paper develops a framework for Halanay type nonautonomous delay differential inequality with maxima, and establishes necessary and/or sufficient conditions the global attractivity of zero solution. emphasis is put on rate convergence based theory generalized characteristic equation. applicability sharpness results are illustrated by examples. This work aspires to serve as remarkable step towards unified inequality.

10.3934/dcds.2017137 article EN Discrete and Continuous Dynamical Systems 2017-01-01

In this paper some integral inequalities are proved in probability spaces, which go back to discrete variants of the Jensen's inequality.Especially, we refine classical inequality.Convergence results corresponding also studied.

10.7153/jmi-03-19 article EN Journal of Mathematical Inequalities 2009-01-01

In this paper, a new parameter-dependent refinement of the discrete Jensen's inequality is given for convex and mid-convex functions. The convergence introduced sequences also studied. One proofs requires an interesting theorem with probability theoretical background. We apply results to define some quasi-arithmetic mixed symmetric means study their monotonicity convergence.

10.1186/1029-242x-2011-26 article EN cc-by Journal of Inequalities and Applications 2011-07-25

In this paper, we present a general framework that provides comprehensive and uniform treatment of integral majorization inequalities for convex functions finite signed measures. Along with new results, unified simple proofs classical statements. To apply our deal Hermite-Hadamard-Fejér-type their refinements. We method to refine both sides inequalities. The results many papers on the refinement Hermite-Hadamard inequality, whose are based different ideas, can be treated in way by method....

10.3390/e25060954 article EN cc-by Entropy 2023-06-19

Abstract Among inequalities that use the concept of convexity, Jensen-type and majorization-type are significant fundamental. An important widely researched area in study is refinement such inequalities. In this paper, we provide a general method for refining integral Jensen inequality finite signed measures using majorization Under conditions considered results unique, even measures, they give new approach. We also interesting specific refinements, some which relate to Jensen–Steffensen’s...

10.1007/s13398-024-01627-7 article EN cc-by Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 2024-06-18

Refinements of the operator Jensen's inequality for convex and functions are given by using cyclic refinements discrete inequality. Similar fairly rare in literature. Some applications results to norm inequalities, Holder McCarthy generalized weighted power means operators presented.

10.13001/1081-3810.3098 article EN Electronic Journal of Linear Algebra 2016-02-05

There are a lot of refinements the discrete Jensen's inequality, and this problem has been studied by many authors. It is also natural to give analogous results for classical inequality. In spite this, few papers have published dealing with problem. The purpose paper some new approach topic. Moreover, inequalities can be derived, integral obtained. We left-hand side Hermite-Hadamard MSC:26D07, 26A51.

10.1186/1029-242x-2012-178 article EN cc-by Journal of Inequalities and Applications 2012-08-16

Abstract In this paper some new refinements of the discrete Jensen’s inequality are obtained in real vector spaces. The idea comes from former determined by cyclic permutations. We essentially generalize and extend these results using permutations finite sets bijections set positive numbers. get for infinite convex combinations Banach Similar rare. Finally, applications given on different topics.

10.1007/s00010-019-00696-z article EN cc-by Aequationes Mathematicae 2019-12-14

Various attempts have been made to give an upper bound for the solutions of delayed version Gronwall–Bellman integral inequality, but obtained estimations are not sharp. In this paper a new approach is presented get sharp nonnegative considered inequalities. The results based on idea generalized characteristic inequality. Our method gives estimation, and therefore more exact than earlier ones.

10.14232/ejqtde.2016.1.111 article EN cc-by Electronic journal of qualitative theory of differential equations 2016-01-01

10.1016/j.camwa.2010.02.010 article EN Computers & Mathematics with Applications 2010-03-08

Recently, Xiao, Srivastava and Zhang (see [10]) have introduced a new refinement of the discrete Jensen's inequality for mid-convex functions.We give discuss weighted form their results.This leads to some inequlities limit formulas.We illustrate scope results by applying them introduce study quasi-arithmetic means.

10.7153/mia-17-69 article EN Mathematical Inequalities & Applications 2014-01-01
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