@article{MTMT:34827812, title = {Cauchy-Schwarz-type inequalities for solutions of Levi-Civita-type functional equations}, url = {https://m2.mtmt.hu/api/publication/34827812}, author = {Páles, Zsolt and Mahmood Kamil, Shihab}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, unique-id = {34827812}, issn = {0031-5303}, keywords = {additive function; Levi–Civita-type functional equation; Cauchy–Schwarz-type functional inequality}, year = {2024}, eissn = {1588-2829} } @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}, 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} }