Rado's Inequality
Ramanujan's harmonic number expansion into negative powers of a triangular number.
Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus
The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive form.
Recurring mean inequality of random variables.
Redheffer type inequality for Bessel functions.
Refined multidimensional Hardy-type inequalities via superquadracity.
Refinement of the Jensen integral inequality
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Refinements and sharpenings of some double inequalities for bounding the gamma function.
Refinements, generalizations, and applications of Jordan's inequality and related problems.
Refinements of Carleman's inequality.
Refinements of inequalities between the sum of squares and the exponential of sum of a nonnegative sequence.
Refinements of results about weighted mixed symmetric means and related Cauchy means.
Refinements of reverse triangle inequalities in inner product spaces.
Refinements of the Hermite-Hadamard inequality for convex functions.
Refining the Hölder and Minkowski inequalities.
Regularity results for vector fields of bounded distortion and applications.
Relations between multidimensional interval-valued variational problems and variational inequalities
In this paper, we introduce a new class of variational inequality with its weak and split forms to obtain an -optimal solution to the multi-dimensional interval-valued variational problem, which is a wider class of interval-valued programming problem in operations research. Using the concept of (strict) -convexity over the involved interval-valued functionals, we establish equivalence relationships between the solutions of variational inequalities and the (strong) -optimal solutions of the multi-dimensional...
Relative boundedness and compactness theory for second-order differential operators.
Relative rearrangement and interpolation inequalities.
We prove here that the Poincaré-Sobolev pointwise inequalities for the relative rearrangement can be considered as the root of a great number of inequalities in various sets not necessarily vector spaces. In particular, new interpolation inequalities can be derived.
Relative rearrangement on a finite measure space. Application to weighted spaces and to P.D.E.