TY - JOUR AU - Páles, Zsolt AU - Mahmood Kamil, Shihab TI - Cauchy-Schwarz-type inequalities for solutions of Levi-Civita-type functional equations JF - PERIODICA MATHEMATICA HUNGARICA J2 - PERIOD MATH HUNG PY - 2024 SN - 0031-5303 UR - https://m2.mtmt.hu/api/publication/34827812 ID - 34827812 LA - English DB - MTMT ER - TY - JOUR AU - Barczy, Mátyás AU - Páles, Zsolt TI - Comparison and Equality of Bajraktarevic-type ψ-estimators JF - REVSTAT-STATISTICAL JOURNAL J2 - REVSTAT-STAT J VL - 2024 PY - 2024 SP - 1 PG - 23 SN - 1645-6726 UR - https://m2.mtmt.hu/api/publication/34779676 ID - 34779676 N1 - megj. alatt LA - English DB - MTMT ER - TY - JOUR AU - Páles, Zsolt AU - Mahmood Kamil, Shihab TI - Cauchy--Schwarz-type inequalities for solutions of Levi--Civita-type functional equations JF - PERIODICA MATHEMATICA HUNGARICA J2 - PERIOD MATH HUNG VL - 2024 PY - 2024 SP - 1 SN - 0031-5303 UR - https://m2.mtmt.hu/api/publication/34779626 ID - 34779626 N1 - megj. alatt LA - English DB - MTMT ER - TY - GEN AU - Matyas, Barczy AU - Páles, Zsolt TI - Determining classes for generalized ψ-estimators PY - 2024 PG - 20 UR - https://m2.mtmt.hu/api/publication/34779619 ID - 34779619 LA - English DB - MTMT ER - TY - GEN AU - Matyas, Barczy AU - Páles, Zsolt TI - Basic properties of generalized ψ-estimators PY - 2024 PG - 22 UR - https://m2.mtmt.hu/api/publication/34779603 ID - 34779603 LA - English DB - MTMT ER - TY - JOUR AU - Páles, Zsolt AU - Pasteczka, Paweł TI - Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means JF - ANNALES MATHEMATICAE SILESIANAE J2 - ANN MATH SIL VL - 38 PY - 2024 IS - 1 SP - 78 EP - 92 PG - 15 SN - 0860-2107 DO - 10.2478/amsil-2024-0004 UR - https://m2.mtmt.hu/api/publication/34735979 ID - 34735979 AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Grünwald, Richárd AU - Páles, Zsolt TI - Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means JF - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS J2 - J MATH ANAL APPL VL - 535 PY - 2024 IS - 2 PG - 22 SN - 0022-247X DO - 10.1016/j.jmaa.2024.128214 UR - https://m2.mtmt.hu/api/publication/34681941 ID - 34681941 N1 - Institute of Mathematics and Computer Science, University of Nyíregyháza, Pf. 166, Nyíregyháza, H-4400, Hungary Doctoral School of Mathematical and Computational Sciences, University of Debrecen, Pf. 400, Debrecen, H-4002, Hungary Institute of Mathematics, University of Debrecen, Pf. 400, Debrecen, H-4002, Hungary Export Date: 30 April 2024; Cited By: 0; Correspondence Address: Z. Páles; Institute of Mathematics, University of Debrecen, Debrecen, Pf. 400, H-4002, Hungary; email: pales@science.unideb.hu AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Ali, Ali Hasan AU - Páles, Zsolt TI - Estimates of linear expressions through factorization JF - JOURNAL OF APPROXIMATION THEORY J2 - J APPROX THEORY VL - 299 PY - 2024 PG - 23 SN - 0021-9045 DO - 10.1016/j.jat.2024.106019 UR - https://m2.mtmt.hu/api/publication/34533381 ID - 34533381 LA - English DB - MTMT ER - TY - JOUR AU - Páles, Zsolt AU - Pasteczka, P. TI - Decision making via generalized Bajraktarević means JF - ANNALS OF OPERATIONS RESEARCH J2 - ANN OPER RES VL - 332 PY - 2024 IS - 1-3 SP - 461 EP - 480 PG - 20 SN - 0254-5330 DO - 10.1007/s10479-023-05582-1 UR - https://m2.mtmt.hu/api/publication/34156037 ID - 34156037 AB - 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). LA - English DB - MTMT ER - TY - JOUR AU - Páles, Zsolt AU - Mahmood Kamil, Shihab TI - On convexity properties with respect to a Chebyshev system JF - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS J2 - J MATH ANAL APPL VL - 530 PY - 2024 IS - 2 PG - 20 SN - 0022-247X DO - 10.1016/j.jmaa.2023.127728 UR - https://m2.mtmt.hu/api/publication/34142705 ID - 34142705 LA - English DB - MTMT ER -