Geodesic
Estimates of the Approximation Characteristics of the Classes~$B^{\Omega}_{p,\theta}$ of Periodic Functions of Several Variables with Given Majorant of Mixed Moduli of Continuity
Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 734-749

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We obtain order-sharp estimates of the orthogonal projection widths of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers.
Keywords: class $B^{\Omega}_{p,\theta}$ of periodic functions, orthogonal projection width, mixed modulus of continuity, Hölder's inequality, Minkowskii's inequality. 
@article{MZM_2014_95_5_a8,
     author = {A. F. Konograj},
     title = {Estimates of the {Approximation} {Characteristics} of the {Classes~}$B^{\Omega}_{p,\theta}$ of {Periodic} {Functions} of {Several} {Variables} with {Given} {Majorant} of {Mixed} {Moduli} of {Continuity}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {734--749},
     publisher = {mathdoc},
     volume = {95},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_5_a8/}
}
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A. F. Konograj. Estimates of the Approximation Characteristics of the Classes~$B^{\Omega}_{p,\theta}$ of Periodic Functions of Several Variables with Given Majorant of Mixed Moduli of Continuity. Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 734-749. http://geodesic.mathdoc.fr/item/MZM_2014_95_5_a8/