Results 61 to 70 of about 74,614 (264)
Association of Jensen’s inequality for s-convex function with Csiszár divergence
In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan +4 more
doaj +1 more source
An Inequality for Convex Functions
The authors prove the following interesting inequality for convex functions: Suppose that positive numbers \(s_{i,j}\) \((i= 0,1,2; j= 1,\dots,n)\) satisfy \(s_{1,j}\leq s_{0,j}\leq s_{2,j}\) \((j= 1,\dots,n)\) and \(a_ j s^{-1}_{i,1}+ b_ j s^{-1}_{i,j}= 1\) \((i= 0,1,2; j= 2,\dots,n)\) for positive constants \(a_ j\), \(b_ j\) \((j= 2,\dots,n)\). If \(
Pearce, C.E.M., Pecaric, J.E.
openaire +2 more sources
Aptamer‐Based Delivery Systems for VEGF and NGF Modulation in Ocular Therapies
Aptamer‐based delivery systems targeting NGF and VEGF hold significant potential for precise and sustained treatment of complex diseases affecting both the anterior and posterior segments of the eye. This review critically summarizes current strategies for NGF and VEGF delivery as well as VEGF sequestration, providing a clinical perspective on how ...
Nadine Best +5 more
wiley +1 more source
In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
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Human periosteum‐derived cell spheroids bioprinted at high density within a hyaluronic acid matrix promote fusion and hypertrophic cartilage formation in vitro. Early encapsulation enhances spheroid interaction and matrix maturation, generating scalable cartilage templates intended for endochondral bone regeneration.
Ane Albillos Sanchez +6 more
wiley +1 more source
Subordination by convex functions
Let K(α), 0 ...
Ram Singh, Sukhjit Singh
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On the Subdifferentiability of Convex Functions [PDF]
(Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
Brøndsted, Arne, Rockafellar, R. T.
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Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena +6 more
wiley +1 more source

