# professor PhD Milan Merkle

**full professor**

*The Department of Applied Mathematics*

*Zgrada tehničkih fakulteta, kancelarija 107*

011/3218-308 | |

011/3370-169 | |

Title | mathematician, PhD |
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Scientific Area | Applied mathematics |

Promotion Date | July 08, 1997 |

## Subjects

## Bibliography

### Papers in journals with SCI list

### Statistical properties of quantisation noise in analogue-to-digital converter with oversampling and decimation

M. Bjelić, M. Stanojević, J. D. Ćertić, M. Merkle, Statistical properties of quantisation noise in analogue-to-digital converter with oversampling and decimation, IET Circuits, Devices and Systems, Vol. 11, No. 5, pp. 421 - 427, Sep, 2017

Authors | Miloš Bjelić, Miodrag Stanojević, Jelena Ćertić, and Milan Merkle |
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Year | 2017 |

DOI | 10.1049/iet-cds.2016.0506 |

Journal | IET Circuits, Devices and Systems |

Impact factor | 1.395 (M23) |

Volumen | 11 |

Number | 5 |

Page from | 421 |

Page to | 427 |

### Krull's theory for the double gamma function

M. Merkle, M. M.R. Merkle, Krull's theory for the double gamma function, APPLIED MATHEMATICS AND COMPUTATION, Vol. 218, pp. 935 - 943, 2011

Authors | Milan Merkle and Monica M.R. Merkle |
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Year | 2011 |

Journal | APPLIED MATHEMATICS AND COMPUTATION |

Impact factor | 1.534 (M21) |

Volumen | 218 |

Page from | 935 |

Page to | 943 |

### Jensen's inequality for multivariate medians

M. Merkle, Jensen's inequality for multivariate medians, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 370, pp. 258 - 269, Jan, 2010

Authors | Milan Merkle |
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Year | 2010 |

DOI | 10.1016/j.jmaa.2010.04.033 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 1.225 |

Volumen | 370 |

Page from | 258 |

Page to | 269 |

### On Generalized Vector Equilibrium Problem with Bounds

Z. Mitrović, M. Merkle, On Generalized Vector Equilibrium Problem with Bounds, APPLIED MATHEMATICS LETTERS, Vol. 23, pp. 783 - 787, 2010

Authors | Zoran Mitrović and Milan Merkle |
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Year | 2010 |

Journal | APPLIED MATHEMATICS LETTERS |

Impact factor | 1.155 (M21) |

Volumen | 23 |

Page from | 783 |

Page to | 787 |

### A mean value theorem for systems of integrals

S. Janković, M. Merkle, A mean value theorem for systems of integrals, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 342, pp. 334 - 339, Jan, 2008

Authors | Slobodanka Janković and Milan Merkle |
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Year | 2008 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 1.046 |

Volumen | 342 |

Page from | 334 |

Page to | 339 |

### Gurland's ratio for the Gamma function

M. Merkle, Gurland's ratio for the Gamma function, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 49, pp. 389 - 406, 2005

Authors | Milan Merkle |
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Year | 2005 |

Journal | COMPUTERS & MATHEMATICS WITH APPLICATIONS |

Impact factor | 0.498 |

Volumen | 49 |

Page from | 389 |

Page to | 406 |

### Jensen's inequality for medians

M. Merkle, Jensen's inequality for medians, STATISTICS & PROBABILITY LETTERS, Vol. 71, pp. 277 - 281, 2005

Authors | Milan Merkle |
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Year | 2005 |

Journal | STATISTICS & PROBABILITY LETTERS |

Impact factor | 0.363 |

Volumen | 71 |

Page from | 277 |

Page to | 281 |

### Reciprocally convex functions

M. Merkle, Reciprocally convex functions, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 293, pp. 210 - 218, 2004

Authors | Milan Merkle |
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Year | 2004 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 0.49 |

Volumen | 293 |

Page from | 210 |

Page to | 218 |

### Representation of the error term in Jensen's and some related inequalities with applications

M. Merkle, Representation of the error term in Jensen's and some related inequalities with applications, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 231, pp. 76 - 90, 1999

Authors | Milan Merkle |
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Year | 1999 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 0.392 |

Volumen | 231 |

Page from | 76 |

Page to | 90 |

### Convexity, Schur-convexity and bounds for the Gamma function involving the Digamma function

M. Merkle, Convexity, Schur-convexity and bounds for the Gamma function involving the Digamma function, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, pp. 1053 - 1066, Jan, 1998

Authors | Milan Merkle |
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Year | 1998 |

Journal | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS |

Impact factor | 0.238 |

Page from | 1053 |

Page to | 1066 |

### Completion of a countably seminormed space

M. Merkle, Completion of a countably seminormed space, ACTA MATHEMATICA HUNGARICA, Vol. 80, pp. 1 - 7, 1998

Authors | Milan Merkle |
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Year | 1998 |

Journal | ACTA MATHEMATICA HUNGARICA |

Impact factor | 0.369 |

Volumen | 80 |

Page from | 1 |

Page to | 7 |

### Loss of lifetime due to radiation exposure: averaging problems

J. Raičević, M. Merkle, J. Ehrhardt, M. Ninković, Loss of lifetime due to radiation exposure: averaging problems, HEALTH PHYSICS, Vol. 72, No. 4, pp. 550 - 557, 1997

Authors | Jagoš Raičević, Milan Merkle, J. Ehrhardt, and M. Ninković |
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Year | 1997 |

Journal | HEALTH PHYSICS |

Impact factor | 0.949 |

Volumen | 72 |

Number | 4 |

Page from | 550 |

Page to | 557 |

### Inequalities for residuals of power expansions for the exponential function and completely monotone functions

M. Merkle, Inequalities for residuals of power expansions for the exponential function and completely monotone functions, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 212, pp. 126 - 134, 1997

Authors | Milan Merkle |
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Year | 1997 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 0.339 |

Volumen | 212 |

Page from | 126 |

Page to | 134 |

### An inequality for residual of Maclaurin expansion

M. Merkle, P. Vasić, An inequality for residual of Maclaurin expansion, ARCHIV DER MATHEMATIK, Vol. 66, pp. 194 - 196, 1996

Authors | Milan Merkle and P. M. Vasić |
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Year | 1996 |

Journal | ARCHIV DER MATHEMATIK |

Impact factor | 0.232 |

Volumen | 66 |

Page from | 194 |

Page to | 196 |

### Logarithmic convexity and inequalities for the Gamma function

M. Merkle, Logarithmic convexity and inequalities for the Gamma function, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 203, pp. 369 - 380, 1996

Authors | Milan Merkle |
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Year | 1996 |

Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |

Impact factor | 0.338 |

Volumen | 203 |

Page from | 369 |

Page to | 380 |

### Some Inequalities for the Chi Square distribution function and the exponential function

M. Merkle, Some Inequalities for the Chi Square distribution function and the exponential function, ARCHIV DER MATHEMATIK, Vol. 60, pp. 451 - 458, 1993

Authors | Milan Merkle |
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Year | 1993 |

Journal | ARCHIV DER MATHEMATIK |

Impact factor | 0.283 |

Volumen | 60 |

Page from | 451 |

Page to | 458 |

### Papers in journals outside the SCI list

### Conditions for convexity of a derivative and some applications to the Gamma function

M. Merkle, Conditions for convexity of a derivative and some applications to the Gamma function, AEQUATIONES MATHEMATICAE, No. 55, pp. 273 - 280, 1998

Authors | Milan Merkle |
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Year | 1998 |

Journal | AEQUATIONES MATHEMATICAE |

Number | 55 |

Page from | 273 |

Page to | 280 |

### Inequalities for sums of independent geometrical random variables

M. Merkle, L. Petrović, Inequalities for sums of independent geometrical random variables, AEQUATIONES MATHEMATICAE, Vol. 54, pp. 173 - 180, 1997

Authors | Milan Merkle and Ljiljana Petrović |
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Year | 1997 |

Journal | AEQUATIONES MATHEMATICAE |

Volumen | 54 |

Page from | 173 |

Page to | 180 |

### On Weak Convergence of Measures on Hilbert Spaces

M. Merkle, On Weak Convergence of Measures on Hilbert Spaces, JOURNAL OF MULTIVARIATE ANALYSIS, Vol. 29, No. 2, pp. 252 - 259, 1989

Authors | Milan Merkle |
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Year | 1989 |

Journal | JOURNAL OF MULTIVARIATE ANALYSIS |

Volumen | 29 |

Number | 2 |

Page from | 252 |

Page to | 259 |

## Projects

### Metode funkcionalne i harmonijske analize i PDJ sa sigularitetima

Type of project | Nauka – osnovno istraživanje |
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Head | professor PhD Milan Merkle |

Business Partner | MINISTARSTVO ZA NAUKU I TEHNOLOŠKI RAZVOJ |

Beginning of realization | 2011-03-07 |

### Akustički konsalting u okviru izrade projekta i izgradnje objekta Filharmonije u Skoplju

Type of project | Ostali međunarodni komercijalni projekti |
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Head | professor PhD Miomir Mijić |

Business Partner | STRABAG AG Podružnica STRABAG Skopje |

Beginning of realization | 2014-10-29 |