New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
New classification of analytic functions with negative coefficients.
New equivalent conditions for Hardy-type inequalities
We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation properties of differential equation solutions, as well as spectral properties.
New existence and stability results for partial fractional differential inclusions with multiple delay
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
New inequalities between elementary symmetric polynomials.
New inequalities involving the zeta function.
New inequalities obtained by means of quadrature formulae.
New inequalities of Hadamard's type for Lipschitzian mappings.
New inequalities of Shafer-Fink type for arc hyperbolic sine.
New inequalities on polynomial divisors.
New inequalities similar to Hardy-Hilbert inequality and their applications.
New integral inequalities for iterated integrals with applications.
New iterative methods for solving nonlinear equations by using modified homotopy perturbation method.
New means of Cauchy's type.
New Orlicz variants of Hardy type inequalities with power, power-logarithmic, and power-exponential weights
We obtain Hardy type inequalities and their Orlicz-norm counterparts with an N-function M, power, power-logarithmic and power-exponential weights ω, ρ, holding on suitable dilation invariant supersets of C 0∞(ℝ+). Maximal sets of admissible functions u are described. This paper is based on authors’ earlier abstract results and applies them to particular classes of weights.
New Ostrowski type inequalities involving the product of two functions.
New Ostrowski type inequalities via mean value theorems.
New proof of two theorems concerning tauberian reduction of integrals
New results in discrete asymptotic analysis.
New results in extremal problems with polynomials.