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1

Lineaments in the Shamakhy–Gobustan and Absheron Hydrocarbon Containing Areas Using Gravity Data

Elmas A., Karsli H., Kadirov F. A.

Acta Geophysica

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2018

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Vol. 66, no. 1

39--49

EN

In this study, we purposed to investigate the edge of geostructures and position of existing faults of the Shamakhy–Gobustan and Absheron hydrocarbon containing regions in Azerbaijan. For this purpose, the horizontal gradient, analytic signal, tilt angle, and hyperbolic of tilt angle methods were applied to the first vertical derivative of gravity data instead of Bouguer gravity data. We obtained the maps that show the previous lineaments which were designated by considering the maximum contours of horizontal gradient, analytic signal maps, and zero values of tilt angle, hyperbolic of tilt angle maps. The geometry of basement interface was also modeled utilizing the Parker–Oldenburg algorithm to understand the sediment thickness and coherency or incoherency between the gravity values and basement topography. The lineaments were held a candle to most current tectonic structure map of the study area. It was seen that the techniques used in this study are very effective to determine the old and new lineaments in the Shamakhy–Gobustan and Absheron regions. The epicenter distribution of earthquakes within the study area supports the new lineaments which are extracted by our interpretation. We concluded that better comprehension of Azerbaijan geostructures and its effect on the large scale works will be provided by means of this study.

2

Some convergence results for nonlinear singular integral operators

Karsli H.

Demonstratio Mathematica

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2013

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Vol. 46, nr 4

729--740

EN

In this paper, we establish some pointwise convergence results for a family of certain nonlinear singular integral operators Tλf of the form (...), acting on functions with bounded (Jordan) variation on an interval [a, b] as λ→λ0. Here, the kernels (...) satisfy some suitable singularity assumptions. We remark that the present study is a continuation and extension of the study of pointwise approximation of the family of nonlinear singular integral operators (1) begun in [18].

3

Voronovskaya-Type Theorems for Derivatives of the Bernstein-Chlodovsky Polynomials and the Szasz-Mirakyan Operator

Butzer P.L., Karsli H.

Commentationes Mathematicae

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2009

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Vol. 49, [Z] 1

33-58

EN

This paper is devoted to a study of a Voronovskaya-type theorem for the derivative of the Bernstein-Chlodovsky polynomials and to a comparison of its approximation eectiveness with the corresponding theorem for the much better-known Szasz-Mirakyan operator. Since the Chlodovsky polynomials contain a factor bn tending to innity having a certain degree of freedom, these polynomials turn out to be generally more ecient in approximating the derivative of the associated function than does the Szasz operator. Moreover, whereas Chlodovsky polynomials apply to functions which are even of order O(exp(x^p)) for any p ≥ 1; the Szasz-Mirakyan operator does so only for p = 1; it diverges for p > 1. The proofs employ but rene practical methods used by Jerzy Albrycht and Jerzy Radecki ( in papers which are almost never cited ) as well as by further mathematicians from the great Poznań school.

4

On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant

Pych-Taberska P., Karsli H.

Commentationes Mathematicae

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2009

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Vol. 49, [Z] 2

189-208

EN

In the present paper we consider the Bézier variant of Chlodovsky- Kantorovich operators Kn-1,af for functions f measurable and locally bounded on the interval [0,1). By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of Kn-1,af(x) at those x > 0 at which the one-sided limits f(x+) , f(x-) exist.