Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators

Mishra, Vishnu Narayan; Mishra, Lakshmi Narayan; Deepmala, _

doi:10.1186/1029-242x-2013-586

Cited by 95 publications

(45 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the above series they obtain some interesting results on certain classes of analytic univalent functions. Some other interesting results also found in [5], [9] and [10], (see also [7], [11]). The convolution (or Hadamard product) of two series f (z) = ∞ n=0 a n z n and g(z) = ∞ n=0 b n z n is defined as the power series…”

Section: Introductionsupporting

confidence: 57%

Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series

Porwal¹,

Srivastava²

2017

Math Morav

View full text Add to dashboard Cite

show abstract

Section: Introductionsupporting

confidence: 57%

Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series

Porwal¹,

Srivastava²

2017

Math Morav

View full text Add to dashboard Cite

show abstract

“…After that many researchers gave Stancu type generalization of several operators on …nite and in…nite intervals. We refer the readers to [11,12,13,14,15,16,17,18,19,20] and the references there in. As mention in the introduction, Stancu generalization of q-Durrmeyer operators (1.2) was discussed by Mishra and Patel [6], which is de…ned as follows:…”

Section: Asymptotic Formula For the Durrmeyer-stancu Operatorsmentioning

confidence: 99%

The voronovskaja type asymptotic formula for q-derivative of integral generalization of q-bernstein operators

Mishra¹,

Patel²

2018

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

View full text Add to dashboard Cite

show abstract

“…For the given aim can be useful the modern achievements in the mathematics, in particular, in operator theory, for instance, the results reported in the works [27,28,29]. It is taking into account that operator calculus is based calculus for the quantum theory.…”

Section: E a I A I A K A A A A Rmentioning

confidence: 99%

To Principles of Quantum Theory Construction

Yerchuck¹,

Dovlatova²,

Alexandrov³

2014

IJP

View full text Add to dashboard Cite

New insight to the principles of the quantum theory construction is given. It is based on the symmetry study of main differential equations of mechanics and electrodynamics. It has been shown, that differential equations, which are invariant under transformations of groups, which are symmetry groups of mathematical numbers (considered within the frames of the number theory) determine the mathematical nature of the quantities, incoming in given equations. The substantial consequence of the given consideration is the proof of the main postulate of quantum mechanics, that is, the proof of the statement, that to any quantum mechanical quantity can be set up into the correspondence the Hermitian matrix. It is shown, that a non-abelian character of the multiplicative group of the quaternion ring leads to the nonapplicability of the quaternion calculus for the construction of new versions of quantum mechanics directly. The given conclusion seems to be actual, since there is a number of modern publications with the development of the quantum mechanics theory using the quaternions with the standard basis {e, i, j, k}. The correct way for the construction of new versions of quantum mechanics on the quaternion base is discussed in the paper presented. It is realized by means of the representation of the quaternions through the basis of the linear space of complex numbers over the field of real numbers, under the multiplicative group of which the equations of the dynamics of mechanical systems are invariant. At the same time the quaternion calculus is applicable in electrodynamics, at that the new versions of quantum electrodynamics can be constructed by an infinite number of the ways corresponding to an infinite number of the matrix representations of the standard quaternion basis {e, i, j, k}. The given conclusion is the consequence of the high symmetry of Maxwell equations.

show abstract

Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators

Abstract: In the present paper, we study an inverse result in simultaneous approximation for Baskakov-Durrmeyer-Stancu type operators. MSC: 41A25; 41A35; 41A36

Cited by 95 publications

References 9 publications

Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series

Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series

The voronovskaja type asymptotic formula for q-derivative of integral generalization of q-bernstein operators

To Principles of Quantum Theory Construction

Contact Info

Product

Resources

About