Antczak [4] considered a special kind of ( p, r ) -invexity, ( 0, r ) -invexity, which is called r-invexity in the cases of differentiability and nondifferentiability. Later, Antczak [17] generalized the concept of (scalar) differentiable r-invex functions to the vectorial case and defined a class of V-r-invex functions.
Let ( K v f ) ( x ) = v ( x ) ∫ 0 x f ( t ) k ( x, t ) d t, x > 0. One of our aims is to characterize a class of weights v governing the boundedness of K v from ( L p ¯ , l q ¯ ) d to ( L p , l q ) d.
Say that a class of morphisms v in a category (mathcal {C}) is multiplicative if it is closed under compositions and contains all identity maps, and assume given a category (mathcal {C}) and two classes of morphisms v, c in (mathcal {C}) such that v is multiplicative.
The multivariate analyses underscore several poor prognostic factors related to pneumonia severity upon ICU admission: SAPS II > 50, requirement for vasoactive drugs, and a PSI risk class of V.
Zaky et al. [19] proposed the Jacobi wavelets collocation approach based on the Jacobi wavelets operational matrix of V-OF derivative for solving a general class of V-OF differential equations arising in turbulent fluid dynamics.
Members of the IF family are grouped together in a class of nuclear proteins (lamins: type V) along with four or five classes of cytoplasmic proteins (types I-IV, VI) depending on the criteria used for their classification [ 3- 6].
This set encompasses the K nearest neighbors of v i whose classes are not different from the class of v i.
This means that, among its K nearest neighbors, v i connects to those vertices which belong to the same class of v i or to those with no label.
In health, microparticles are most commonly platelet-derived, and a class of procoagulant apoptosis-marker positive (annexin V) microparticles is also found [1].
Acid vacuole staining, cross-resistance studies, and direct c/c′ subunit mutagenesis all suggest that indolotryptolines are likely a structurally novel class of V-ATPase inhibitors.
