Temat: generalized convex function - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Characterizations and decomposition of strongly wright-convex functions of higher order
Autorzy:: Gilányi, A.
Merentes, N.
Nikodem, K.
Páles, Z.
Powiązania:: https://bibliotekanauki.pl/articles/952781.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: generalized convex function
Wright convex function of higher order
strongly convex function
Opis:: Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal. 74 (2011), 661-665] we investigate strongly Wright-convex functions of higher order and we prove decomposition and characterization theorems for them. Our decomposition theorem states that a function / is strongly Wright-convex of order n if and only if it is of the form [formula], where g is a (continuous) n-convex function and p is a polynomial function of degree n. This is a counterpart of Ng's decomposition theorem for Wright-convex functions. We also characterize higher order strongly Wright-convex functions via generalized derivatives.
Źródło:: Opuscula Mathematica; 2015, 35, 1; 37-46
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On Korenblum convex functions
Autorzy:: Lopez, Lorena Maria
Ereú, Jurancy
Merentes, Nelson
Powiązania:: https://bibliotekanauki.pl/articles/960142.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Convex function
generalized convexity
k-entropy
Opis:: We introduce a new class of generalized convex functions called the κ-convex functions, based on Korenblum's concept of κ-decreasing functions, where κ is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart of the class of so-called d.c. functions. We characterize this subclass in terms of the space of functions of bounded second κ-variation, extending a result of F. Riesz. We also present a formal structural decomposition result for the κ-convex functions.
Źródło:: Commentationes Mathematicae; 2017, 57, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The converse of the Hölder inequality and its generalizations
Autorzy:: Matkowski, Janusz
Powiązania:: https://bibliotekanauki.pl/articles/1290537.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: measure space
integrable step functions
conjugate functions
a converse of Hölder inequality
subadditive function
convex function
generalized Hölder-Minkowski inequality
Opis:: Let (Ω,Σ,μ) be a measure space with two sets A,B ∈ Σ such that 0 < μ (A) < 1 < μ (B) < ∞ and suppose that ϕ and ψ are arbitrary bijections of [0,∞) such that ϕ(0) = ψ(0) = 0. The main result says that if $ʃ_Ω xydμ ≤ ϕ^{-1} (\int_{Ω} ϕ∘x dμ) ψ^{-1} (\int_{Ω} ψ∘x dμ)$ for all μ-integrable nonnegative step functions x,y then ϕ and ψ must be conjugate power functions. If the measure space (Ω,Σ,μ) has one of the following properties: (a) μ (A) ≤ 1 for every A ∈ Σ of finite measure; (b) μ (A) ≥ 1 for every A ∈ Σ of positive measure, then there exist some broad classes of nonpower bijections ϕ and ψ such that the above inequality holds true. A general inequality which contains integral Hölder and Minkowski inequalities as very special cases is also given.
Źródło:: Studia Mathematica; 1994, 109, 2; 171-182
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Multivalent Harmonic Functions defined by m-tuple Integral operators
Autorzy:: Sharma, Poonam
Powiązania:: https://bibliotekanauki.pl/articles/745994.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Multivalent Harmonic starlike (convex) functions
Erdélyi-Kober integral operator
Hohlov operator
Carlson and Shaffer operator
convolution
Wright generalized hypergeometric function
Gauss hypergeometric function
incomplete beta function
Opis:: In this paper a multivalent harmonic function is defined by m-tuple integral operators and some classes of these multivalent harmonic functions are studied in terms of inequalities involving Wright generalized hypergeometric functions. Some special cases of our results are also mentioned.
Źródło:: Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja