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Lastly, we study the rate of convergence of functions having a derivative of bounded variation.
The result is shown in the framework of uniform convergence of functions, and stated without imposing any distributional assumptions.
Taken together, this convergence of functions at NPCs in the regulation of transcription, in the stabilization and repair of DNA ends, and in transcript quality control through mRNA surveillance suggests that the NPC serves as a nexus to inextricably link these processes (reviewed in Strambio-de-Castillia et al. 2010).
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In contrast to this functional divergence, convergence of function is also seen in the superfamily, specifically concerning binding of tRNA, and structural mimics of tRNA.
whenever n ≥ N. Let f n ( t ) = ( t 2 − α u n ( t ) ) ′ and f ( t ) = ( t 2 − α u ( t ) ) ′. Then (2.4) means that f n → f uniformly on ( 0.1 ], and so lim t → 0 + f ( t ) = lim n → ∞ lim t → 0 + f n ( t ) exists . by applying the theorem to the limit convergence of function sequences again.
This represents another mechanism by which ING1b and p53 may interact to increase levels of lincRNA-p21, which might also explain their convergence of function in inducing apoptosis, an observation made independently in previous studies.
Öksüzer et al. [7] estimated the rate of convergence for functions of bounded variation for these operators by means of some results of probability theory.
Ispir and Yuksel [8] considered the Bezier variant of the operators studied in [1] and estimated the rate of convergence for functions of bounded variation.
They estimated the rate of convergence for functions of bounded variation.
Gupta [4] estimated the rate of convergence for functions of BV on certain Baskakov-Durrmeyer type operators.
The rate of convergence for functions of bounded variation was investigated by many authors such as Bojanić and Vuilleumier [3], Chêng [4], Guo and Khan [5], Zeng and Piriou [6], Gupta et al. [7], involving several different operators.
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