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.