@article{MTMT:34779676, title = {Comparison and Equality of Bajraktarevic-type ψ-estimators}, url = {https://m2.mtmt.hu/api/publication/34779676}, author = {Barczy, Mátyás and Páles, Zsolt}, journal-iso = {REVSTAT-STAT J}, journal = {REVSTAT-STATISTICAL JOURNAL}, volume = {2024}, unique-id = {34779676}, issn = {1645-6726}, keywords = {[psi]-estimator; Z-estimator; comparison of estimators; quasi-arithmetic-type estimator; Bajraktarevic-type ψ-estimators}, year = {2024}, eissn = {2183-0371}, pages = {1-24}, orcid-numbers = {Barczy, Mátyás/0000-0003-3119-7953} } @article{MTMT:34779626, title = {Cauchy--Schwarz-type inequalities for solutions of Levi--Civita-type functional equations}, url = {https://m2.mtmt.hu/api/publication/34779626}, author = {Páles, Zsolt and Mahmood Kamil, Shihab}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {2024}, unique-id = {34779626}, issn = {0031-5303}, keywords = {additive function; Levi–Civita-type functional equation; Cauchy–Schwarz-type functional inequality}, year = {2024}, eissn = {1588-2829}, pages = {1} } @misc{MTMT:34779619, title = {Determining classes for generalized ψ-estimators}, url = {https://m2.mtmt.hu/api/publication/34779619}, author = {Matyas, Barczy and Páles, Zsolt}, unique-id = {34779619}, year = {2024} } @misc{MTMT:34779603, title = {Basic properties of generalized ψ-estimators}, url = {https://m2.mtmt.hu/api/publication/34779603}, author = {Matyas, Barczy and Páles, Zsolt}, unique-id = {34779603}, year = {2024} } @article{MTMT:34735979, title = {Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means}, url = {https://m2.mtmt.hu/api/publication/34735979}, author = {Páles, Zsolt and Pasteczka, Paweł}, doi = {10.2478/amsil-2024-0004}, journal-iso = {ANN MATH SIL}, journal = {ANNALES MATHEMATICAE SILESIANAE}, volume = {38}, unique-id = {34735979}, issn = {0860-2107}, abstract = {In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely determined. Using this description, we establish su˚cient conditions for the Hardy property of the homogeneous quasideviation mean and we also furnish an upper estimates for its Hardy constant.}, keywords = {Hardy inequality; Hardy constant}, year = {2024}, eissn = {2391-4238}, pages = {78-92} } @article{MTMT:34681941, title = {Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means}, url = {https://m2.mtmt.hu/api/publication/34681941}, author = {Grünwald, Richárd and Páles, Zsolt}, doi = {10.1016/j.jmaa.2024.128214}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {535}, unique-id = {34681941}, issn = {0022-247X}, abstract = {The aim of this paper is to investigate inequalities that are analogous to the Minkowski and Hölder inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarević means are considered, in particular, Gini means. A further aim is to introduce the concept of local and global validity of such inequalities and to characterize them in both senses.}, keywords = {Hölder's inequality; Gini mean; Generalized Bajraktarević mean}, year = {2024}, eissn = {1096-0813} } @article{MTMT:34533381, title = {Estimates of linear expressions through factorization}, url = {https://m2.mtmt.hu/api/publication/34533381}, author = {Ali, Ali Hasan and Páles, Zsolt}, doi = {10.1016/j.jat.2024.106019}, journal-iso = {J APPROX THEORY}, journal = {JOURNAL OF APPROXIMATION THEORY}, volume = {299}, unique-id = {34533381}, issn = {0021-9045}, year = {2024}, eissn = {1096-0430}, orcid-numbers = {Ali, Ali Hasan/0000-0003-2959-4212} } @article{MTMT:34156037, title = {Decision making via generalized Bajraktarević means}, url = {https://m2.mtmt.hu/api/publication/34156037}, author = {Páles, Zsolt and Pasteczka, P.}, doi = {10.1007/s10479-023-05582-1}, journal-iso = {ANN OPER RES}, journal = {ANNALS OF OPERATIONS RESEARCH}, volume = {332}, unique-id = {34156037}, issn = {0254-5330}, abstract = {We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarević means. It allows a nonlinear approach to optimization problems. These functions admit several interesting (from the point of view of decision-making) properties, for example, delegativity (which states that each subgroup of decision-makers can aggregate their decisions and efforts), casuativity (each decision affects the final outcome except two trivial cases) and convexity-type properties. Beyond establishing the most important properties of such means, we solve their equality problem, we introduce a notion of synergy and characterize the null-synergy decision-making functions of this type. © 2023, The Author(s).}, keywords = {Synergy; Aggregation function; Equality problem; Decision making function; Effort function; Generalized Bajraktarević mean}, year = {2024}, eissn = {1572-9338}, pages = {461-480} } @article{MTMT:34142705, title = {On convexity properties with respect to a Chebyshev system}, url = {https://m2.mtmt.hu/api/publication/34142705}, author = {Páles, Zsolt and Mahmood Kamil, Shihab}, doi = {10.1016/j.jmaa.2023.127728}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {530}, unique-id = {34142705}, issn = {0022-247X}, year = {2024}, eissn = {1096-0813} } @article{MTMT:34645176, title = {The 59th International Symposium on Functional Equations Hotel Aurum, Hajdúszoboszló (Hungary), June 18-25, 2023}, url = {https://m2.mtmt.hu/api/publication/34645176}, author = {Mirosaw, Adamek and Ali, Ali Hasan and Alina, Ramona Baias and Bessenyei, Mihály and Boros, Zoltán and Gilányi, Attila and Grünwald, Richárd and Gselmann, Eszter and Mehak, Iqbal and Kiss, Tibor and Kiss, Gergely and Menzer, Rayene and Nagy, Gergő and Páles, Zsolt and Székelyhidi, László and Szokol, Patrícia Ágnes and To, Lan Nhi and Tóth, Péter and Norbert, Tóth}, doi = {10.1007/s00010-023-01007-3}, journal-iso = {AEQUATIONES MATH}, journal = {AEQUATIONES MATHEMATICAE}, volume = {97}, unique-id = {34645176}, issn = {0001-9054}, year = {2023}, eissn = {1420-8903}, pages = {1259-1290}, orcid-numbers = {Ali, Ali Hasan/0000-0003-2959-4212; Boros, Zoltán/0000-0003-2219-6027; Gselmann, Eszter/0000-0002-1708-2570; Menzer, Rayene/0000-0002-6540-8651; Nagy, Gergő/0000-0002-9044-4590; Székelyhidi, László/0000-0001-8078-6426; Tóth, Péter/0000-0002-9698-8935} }