30 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of ŁódźPL2 papers
- AGH University of KrakowPL1 paper
- Central University of VenezuelaVE1 paper
- Institute of Medical Technology and EquipmentPL1 paper
- Islamic Azad University, MashhadIR1 paper
- Istituto Nazionale di Fisica NucleareIT1 paper
- Jagiellonian UniversityPL1 paper
- Leibniz University HannoverDE1 paper
- Ohio UniversityUS1 paper
- Physikalisch-Technische BundesanstaltDE1 paper
- Rzeszów University of TechnologyPL1 paper
- University of DebrecenHU1 paper
12 papers
Matter- and magnetically-driven flavor conversion of neutrinos in magnetorotational collapses
Marco Manno, Pablo Martínez-Miravé, Irene Tamborra
The magnetorotational collapse of massive stars copiously emits neutrinos of all flavors, with a prominent hierarchy between the non-electron and electron flavor average energies.…
Associative Knowledge Graphs for Efficient Sequence Storage and Retrieval
Przemysław Stokłosa, Janusz A. Starzyk, Paweł Raif +2
The paper addresses challenges in storing and retrieving sequences in contexts like anomaly detection, behavior prediction, and genetic information analysis. Associative Knowledge…
Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials
Andrzej Komisarski, Teresa Rajba
We present a new, very short proof of a conjecture by I. Raşa, which is an inequality involving basic Bernstein polynomials and convex functions. It was affirmed positively very re…
Inequalities between remainders of quadratures
Andrzej Komisarski, Szymon Wąsowicz
It is well-known that in the class of convex functions the (nonnegative) remainder of the Midpoint Rule of the approximate integration is majorized by the remainder of the Trapezoi…
Around Jensen's inequality for strongly convex functions
H. R. Moradi, M. E. Omidvar, M. Adil Khan +1
In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special…
Bernstein--Doetsch type theorems with Tabor type error terms for set-valued maps
Attila Gilányi, Carlos Gonzales, Kazimierz Nikodem +1
In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein--Doetsch Theorem with Ta…
Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions
Martin Paech, Walter Apel, Eva Kalinowski +1
We present a large-scale combinatorial-diagrammatic computation of high-order contributions to the strong-coupling Kato-Takahashi perturbation series for the Hubbard model in high…
Extremal measures with prescribed moments
Teresa Rajba, Szymon Wasowicz
In the approximate integration some inequalities between the quadratures and the integrals approximated by them are called \emph{extremalities}. On the other hand, the set of all q…
On the classes of higher-order Jensen-convex functions and Wright-convex functions
Kazimierz Nikodem, Teresa Rajba, Szymon Wasowicz
The classes of n-Wright-convex functions and n-Jensen-convex functions are compared with each other. It is shown that for any odd natural number the first one is the proper sub…
Support-type properties of convex functions of higher order and Hadamard-type inequalities
Szymon Wasowicz
It is well-known that every convex function admits an affine support at every interior point of a domain. Convex functions of higher order (precisely of an odd order) have a simila…
On some extremalities in the approximate integration
Szymon Wasowicz
Some extremalities for quadrature operators are proved for convex functions of higher order. Such results are known in the numerical analysis, however they are often proved under s…
Hermite-Hadamard-type inequalities in the approximate integration
Szymon Wasowicz
We give a slight extension of the Hermite-Hadamard inequality on simplices and we use it to establish error bounds of the operators connected with the approximate integration.