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A CLASS OF HARMONIC p𝑝, 𝑞q-STARLIKE FUNCTIONS INVOLVING A GENERALIZED p𝑝, 𝑞q-BERNARDI INTEGRAL OPERATOR

open access: yesПроблемы анализа, 2023
With the aid of 𝑞-calculus, this paper introduces a new generalized p𝑝, 𝑞q-Bernardi integral operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q. Then, we define a new subclass of harmonic p𝑝, 𝑞q-starlike functions of complex order associated with the operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q.
S. H. Hadi, M. Darus
doaj  

Bohnenblust-Hille inequalities: analytical and computational aspects

open access: yesAnais da Academia Brasileira de Ciências, 2018
The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors.
WASTHENNY V. CAVALCANTE   +1 more
doaj   +1 more source

Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
Let $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017,  57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ only using Mathematica 8, where ${\mathcal L}_s(^2l_ ...
Sung Guen Kim
doaj   +1 more source

Secure Degrees of Freedom Regions of Multiple Access and Interference Channels: The Polytope Structure [PDF]

open access: yes, 2014
The sum secure degrees of freedom (s.d.o.f.) of two fundamental multi-user network structures, the K-user Gaussian multiple access (MAC) wiretap channel and the K-user interference channel (IC) with secrecy constraints, have been determined recently as K(
Ulukus, Sennur, Xie, Jianwei
core   +2 more sources

Harmonic Starlike Functions with Respect to Symmetric Points

open access: yesAxioms, 2019
In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions.
Nak Eun Cho, Jacek Dziok
doaj   +1 more source

Applications of the Hahn-Banach Theorem, a Solution of the Moment Problem and the Related Approximation

open access: yesMathematics
We start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and polynomial
Octav Olteanu
doaj   +1 more source

Completely positive linear operators for Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
doaj   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

Double-null Operators and the Investigation of Birkhoff\'s Theorem on Discrete lp Spaces

open access: yesپژوهش‌های ریاضی, 2020
Doubly stochastic matrices play a fundamental role in the theory of majorization. Birkhoff's theorem explains the relation between $ntimes n$ doubly stochastic matrices and permutations.
Ali Bayati Eshkaftaki
doaj  

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley   +1 more source

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