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  • Author or Editor: Vijay Gupta x
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Very recently, the authors in [5] proposed the exponential-type operator connected with x 4 3 and studied its convergence estimates. In the present research, we extend the study and obtain the general form of its 𝑝-th order moment; 𝑝 ∈ ℕ ∪ {0}. Further, we establish the simultaneous approximation for the operator under consideration.

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In this paper, we propose some new positive linear approximation operators, which are obtained from a composition of certain integral type operators with certain discrete operators. It turns out that the new operators can be expressed in discrete form. We provide representations for their coefficients. Furthermore, we study their approximation properties and determine their moment generating functions, which may be useful in finding several other convergence results in different settings.

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A high-performance thin-layer chromatographic (HPTLC) method has been established for simple and rapid quantification of two secoiridoids, swertiamarin and amarogentin, in two Swertia species. HPTLC of secoiridoids was performed on precoated silica 60 F 254 plates with EtOAc-MeOH-H 2 O, 77 + 8 + 8 ( v/v ), as mobile phase. Densitometric determination of the secoiridoids was performed at λ = 235 nm in reflectance/absorbance mode. The method was validated for precision, repeatability, and accuracy. Average recovery of amarogentin and swertiamarin was 94.5 and 96.5%, respectively, showing that the reproducibility of the method was excellent. The method is simple, precise, specific, sensitive, and accurate and can be used for routine quality control of raw materials and herbal formulations.

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