New functional inequality and its application

Remark that, as for weak Poincar´e inequalities, multiplicative forms of the weak logarithmic Sobolev inequality appears first under the name of log-Nash inequality to study the decay

By using inequalities involving several means, Neuman [4] presented the fol- lowing inequality chain generalizing the Adamovic-Mitrinovic inequality... (5) Proof Indeed, Let us

During the past several years, sharp inequalities involving trigonometric and hyperbolic functions have received a lot of attention.. Thanks to their use- fulness in all areas

We present new proofs of two theorems of E.B. 2.2.8 in [D]) about ultracontractivity property ( U lt for short) of semigroups of operators and logarithmic Sobolev inequalities

We develop connections between Stein’s approximation method, logarithmic Sobolev and transport inequalities by introducing a new class of functional in- equalities involving

Beckner [B] derived a family of generalized Poincar´e inequalities (GPI) for the Gaussian measure that yield a sharp interpolation between the classical Poincar´e inequality and

Bagul, New inequalities involving circular, inverse circu- lar, hyperbolic, inverse hyperbolic and exponential functions, Ad- vances in Inequalities and Applications, Volume

Such concentration inequalities were established by Talagrand [22, 23] for the exponential measure and later for even log-concave measures, via inf- convolution inequalities (which