Candidate of Phys. and Math. Sciences,
Assistant

Degrees

06/2015 - candidate (Physics and Mathematics)

specialty 01.01.01 - Real, Complex and Functional Analysis

Research Interest

• Integral inequalities of Hardy type.
• Harmonic mappings.
• Inequalities for operators

Taught Disciplines

• Calculus of Variations and Optimization Methods.
• Computer Science
• Mathematical Analysis (at the Institute of Economics)

Main publications (in English)

• Avkhadiev, F.G., Nasibullin, R.G. & Shafigullin, I.K.  Lp-Versions of One Conformally Invariant Inequality Russ Math. (2018) 62: 76.
• Nasibullin, R.G. & Shafigulin, I.K. Avkhadiev–Becker type p-valence conditions for harmonic mappings of a disc Russ Math. (2017) 61: 72.
• I.K. SHAFIGULLIN LOWER BOUND FOR THE HARDY CONSTANT FOR AN ARBITRARY DOMAIN IN Rn Ufa Mathematical Journal. Vol. 9. No 2 (2017). P. 102-108
• Avkhadiev, F.G., Nasibullin, R.G. & Shafigullin, I.K. Becker type univalence conditions for harmonic mappings Russ Math. (2016) 60: 69.
• Avkhadiev, F.G. & Shafigullin, I.K. Sharp estimates of Hardy constants for domains with special boundary properties Russ Math. (2014) 58: 58.
• Avkhadiev, F.G. & Shafigullin, I.K. Estimates of Hardy’s constants for tubular extensions of sets and domains with finite boundary moments Sib. Adv. Math. (2014) 24: 153.
• Avkhadiev, F.G., Nasibullin, R.G. & Shafigullin, I.K. Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space Russ Math. (2011) 55: 76. 

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