Abstract
In the paper, we constructed a class of linear positive operators generalizing Picard integral operators which preserve the functions \(e^{\mu x}\) and \(e^{2\mu x},\) \(\mu >0.\) We show that these operators are approximation processes in a suitable weighted spaces. The uniform weighted approximation order of constructed operators is given via exponential weighted modulus of smoothness. We also obtain their shape preserving properties considering exponential convexity.
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Aral, A. (2018). On Generalized Picard Integral Operators. In: Mohiuddine, S., Acar, T. (eds) Advances in Summability and Approximation Theory. Springer, Singapore. https://doi.org/10.1007/978-981-13-3077-3_9
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DOI: https://doi.org/10.1007/978-981-13-3077-3_9
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