Sentence examples for various operators of from inspiring English sources

In recent years, various operators of fractional calculus (that is, calculus of integrals and derivatives of arbitrary real or complex orders) have been investigated and applied in many remarkably diverse fields of science and engineering.

As an another application, we prove the boundedness of various operators on generalized Morrey spaces which are estimated by Riesz potentials.

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Following this pioneer paper, several authors have devoted their attention to research the properties of a b-metric space and have reported the existence and uniqueness of fixed points of various operators in the setting of b-metric spaces (see, e.g., [3 12] and some reference therein).

Since then, many authors introduced q-generalization of various operators and investigated several approximation properties.

Later on, many authors introduced q-generalizations of various operators and investigated several approximation properties [5 14].

Later on several researchers have proposed the q-analog of various operators and investigated their approximation properties [8, 9, 11, 12].

The estimates of analytical precision and reproducibility were obtained by analyzing 10 prostate tumor RNA samples on multiple instruments, using multiple reagent lots, by various operators over a period of 2 weeks.

To determine this location, the mean value of the x-coordinate and y-coordinate of the base stations of the various operators active in the considered area is used.

Especially, the research on the inequalities of the various operators and their compositions applied to the solutions to different sorts of the A-harmonic equation has made great progress [5].

See our previous coverage here for an overview of the various operators in this space.