Results 11 to 20 of about 879 (219)

Metric Entropy for Functions of Bounded Total Generalized Variation [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2021
We establish a sharp estimate for a minimal number of binary digits (bits) needed to represent all bounded total generalized variation functions taking values in a general totally bounded metric space $(E,ρ)$ up to an accuracy of $\varepsilon>0$ with respect to the ${\bf L}^1$-distance.
Rossana Capuani   +2 more
openaire   +5 more sources

On the Convolution of Functions of Generalized Bounded Variations [PDF]

open access: yesGeorgian Mathematical Journal, 2006
Abstract Let 𝑓 and 𝑔 be 2π periodic functions. If 𝑓 ∈ 𝐿1[0, 2π] and 𝑔 is from ∧ 𝐵𝑉(𝑝)[0, 2π] or, Lip(α, 𝑝)[0, 2π] or, 𝑟 – 𝐵𝑉 [0, 2π], then 𝑓 convolution 𝑔 inherit the same property.
openaire   +2 more sources

Relations between some classes of functions of generalized bounded variation [PDF]

open access: yesBanach Center Publications, 2014
We prove inclusion relations between generalized Waterman's and generalized Wiener's classes for functions of two variable.
Gogatishvili, A. (Amiran)   +2 more
openaire   +3 more sources

New Generalized Inequalities for Functions of Bounded Variation

open access: yesCumhuriyet Science Journal, 2018
In this paper, firstly we obtain some generalized trapezoid and midpoint type inequalities for functions of bounded variation using two new generalized identities for Riemann-Stieltjes integrals. Then quadrature formula is also provided.
BUDAK, Hüseyin, SARIKAYA, Mehmet Zeki
openaire   +4 more sources

Generalized Integrals with Respect to Functions of Bounded Variation [PDF]

open access: yesCanadian Journal of Mathematics, 1958
A considerable literature has grown up around the analysis of the structure of a function in terms of its derivative, and the structure of functions F(x) which are integrals of various kinds. Some of this relates to derivatives and integrals of F(x) with respect to functions of bounded variation ω(x) (1-6) or, in the case of a paper by Ward (4), with ...
openaire   +2 more sources

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation [PDF]

open access: yesUkrainian Mathematical Journal, 2015
The paper introduces a new concept of $Λ$-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier ...
Goginava, U., Sahakian, A.
openaire   +3 more sources

Social Functioning Within the First Years After Pediatric Brain Tumor Diagnosis and the Relationship With Family Psychosocial Risk

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben   +4 more
wiley   +1 more source

Referral Patterns and Diagnostic Timeliness in Pediatric Cancer: A Hospital‐Based Study in Indonesia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Timely diagnosis and treatment are critical for improving survival among children with cancer. In low‐ and middle‐income countries (LMICs), delays are common and may be influenced by fragmented referral pathways and diagnostic limitations.
Nur Melani Sari   +5 more
wiley   +1 more source

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo   +5 more
wiley   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

open access: yesFEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

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