TY  - JOUR
AU  - Dujella, Andrej
AU  - Győry, Kálmán
AU  - P, Michaud-Jacobs
AU  - Pintér, Ákos
TI  - On power values of pyramidal numbers, II
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 208
PY  - 2023
IS  - 3
SP  - 199
EP  - 213
PG  - 15
SN  - 0065-1036
DO  - 10.4064/aa211213-27-7
UR  - https://m2.mtmt.hu/api/publication/34123940
ID  - 34123940
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Burai, Pál József
AU  - Kiss, Gergely
AU  - Szokol, Patrícia Ágnes
TI  - Characterization of quasi-arithmetic means without regularity condition
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 165
PY  - 2021
IS  - 2
SP  - 474
EP  - 485
PG  - 12
SN  - 0236-5294
DO  - 10.1007/s10474-021-01185-z
UR  - https://m2.mtmt.hu/api/publication/32576824
ID  - 32576824
N1  - Export Date: 29 April 2022            
            Correspondence Address: Burai, P.; Budapest University of Technology and Economics, Egry József u. 1, Hungary; email: buraip@math.bme.hu
AB  - We show that bisymmetry, which is an algebraic property, hasa regularity improving feature. More precisely, we prove that every bisymmetric,partially strictly monotonic, reflexive and symmetric function F: I2→ I is continuous.As a consequence, we obtain a finer characterization of quasi-arithmeticmeans than the classical results of Aczél [1], Kolmogoroff [18], Nagumo [20] andde Finetti [11]. © 2021, Akadémiai Kiadó, Budapest, Hungary.
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Rácz, Gabriella
TI  - Általánosított Lah-számok és néhány kapcsolódó kombinatorikus számsorozat
PB  - Debreceni Egyetem Természettudományi Kar
PY  - 2021
SP  - 95
UR  - https://m2.mtmt.hu/api/publication/32049121
ID  - 32049121
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kiss, Tibor
TI  - On the balancing property of Matkowski means
JF  - AEQUATIONES MATHEMATICAE
J2  - AEQUATIONES MATH
VL  - 95
PY  - 2021
IS  - 1
SP  - 75
EP  - 89
PG  - 15
SN  - 0001-9054
DO  - 10.1007/s00010-020-00758-7
UR  - https://m2.mtmt.hu/api/publication/32003595
ID  - 32003595
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Adédji, Kouèssi Norbert
AU  - He, Bo
AU  - Pintér, Ákos
AU  - Togbé, Alain
TI  - On the Diophantine Pair {a,3a}
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 227
PY  - 2021
SP  - 330
EP  - 351
PG  - 22
SN  - 0022-314X
DO  - 10.1016/j.jnt.2021.03.011
UR  - https://m2.mtmt.hu/api/publication/31982145
ID  - 31982145
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gyimesi, Eszter
TI  - The r-Dowling-Lah polynomials
JF  - MEDITERRANEAN JOURNAL OF MATHEMATICS
J2  - MEDITERR J MATH
VL  - 18
PY  - 2021
IS  - 4
PG  - 16
SN  - 1660-5446
DO  - 10.1007/s00009-020-01669-2
UR  - https://m2.mtmt.hu/api/publication/31682399
ID  - 31682399
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gyimesi, Eszter
AU  - Nyul, Gábor
TI  - Associated r-Dowling numbers and some relatives
JF  - COMPTES RENDUS MATHEMATIQUE
J2  - CR MATH
VL  - 359
PY  - 2021
IS  - 1
SP  - 47
EP  - 55
PG  - 9
SN  - 1631-073X
DO  - 10.5802/crmath.145
UR  - https://m2.mtmt.hu/api/publication/31650918
ID  - 31650918
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Nyul, Gábor
AU  - Rácz, Gabriella
TI  - Matchings in complete bipartite graphs and the r-Lah numbers
JF  - CZECHOSLOVAK MATHEMATICAL JOURNAL
J2  - CZECH MATH J
VL  - 71
PY  - 2021
IS  - 4
SP  - 947
EP  - 959
PG  - 13
SN  - 0011-4642
DO  - 10.21136/CMJ.2021.0148-20
UR  - https://m2.mtmt.hu/api/publication/31612547
ID  - 31612547
AB  - We give a graph theoretic interpretation of r-Lah numbers, namely, we show that the r -Lah number left perpendicular(k)(n)right perpendicular(r) counting the number of r-partitions of an (n + r)-element set into k + r ordered blocks is just equal to the number of matchings consisting of n - k edges in the complete bipartite graph with partite sets of cardinality n and n + 2r - 1 (0 <= k <= n, r >= 1). We present five independent proofs including a direct, bijective one. Finally, we close our work with a similar result for r-Stirling numbers of the second kind.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Burai, Pál József
AU  - Makó, Judit
AU  - Szokol, Patrícia Ágnes
TI  - HERMITE-HADAMARD TYPE INEQUALITY FOR CERTAIN SCHUR CONVEX FUNCTIONS
JF  - MATHEMATICAL INEQUALITIES & APPLICATIONS
J2  - MATH INEQUAL APPL
VL  - 23
PY  - 2020
IS  - 4
SP  - 1441
EP  - 1458
PG  - 18
SN  - 1331-4343
DO  - 10.7153/mia-2020-23-103
UR  - https://m2.mtmt.hu/api/publication/31729837
ID  - 31729837
AB  - The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bazsó, András
TI  - On linear combinations of products of consecutive integers
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 162
PY  - 2020
IS  - 2
SP  - 690
EP  - 704
PG  - 15
SN  - 0236-5294
DO  - 10.1007/s10474-020-01083-w
UR  - https://m2.mtmt.hu/api/publication/31641686
ID  - 31641686
LA  - English
DB  - MTMT
ER  -