Emphasizing on Simultaneous Approximation of Unbounded Functions

The term “approximation” comes from the Latin word “approximatus.” In our environment, the phrase can be given to a variety of attributes (e.g., value, amount, image, description) that are nearly, but not exactly correct or similar, but not identical. Approximation is commonly used to approximate numbers, but it is also used to approximate mathematical functions, forms, and physical laws [1,2]. When the right model is difficult to utilise, approximation can refer to using a simplified technique or model. To make calculations easier, an approximation model is utilised. If exact representations are not possible due to insufficient information, approximations may be utilised. We offer a comprehensive overview of approximation using linear positive operators in this chapter [2], a useful tool for increasing the order of approximation. The features of operators are not confined to finite variation functions, but also include unbounded variation functions [3]. Many writers have investigated and employed rate of convergence, moduli of smoothness, and other methods to obtain diverse results for a variety of operators. To approximate an unbounded function, we employ summation-integral type linear positive operators. Dual Beta type operators are the term for these operators. For this, we use simultaneous approximation and the Voronovskaya type asymptotic formula to obtain moments and other types of findings.

Author (S) Details

Sangeeta Garg
Department of Mathematics, Roorkee College of Engineering, Roorkee (UK), India.

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