On functions with vanishing local derivative
On further analogs of Hilbert's inequality.
On further strengthened Hardy-Hilbert's inequality.
On generalisation of polynomials in complex plane.
On generalization of Cebysev type inequalities.
On generalizations of Grüss inequality in inner product spaces and applications.
On generalizations of L. Yang's inequality.
On generalizations of Ostrowski inequality and some related results
Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.
On generalizations of Ostrowski inequality via Euler harmonic identities.
On generalizations of the series of Taylor, Lagrange, Laurent and Teixeira.
On generalized Darboux and connectivity functions
On generalized derivatives for vector optimization problems.
On generalized Moser-Trudinger inequalities without boundary condition
We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.
On generalized Peano and Peano derivatives
A function F is said to have a generalized Peano derivative at x if F is continuous in a neighborhood of x and if there exists a positive integer q such that a qth primitive of F in the neighborhood has the (q+n)th Peano derivative at x; in this case the latter is called the generalized nth Peano derivative of F at x and denoted by . We show that generalized Peano derivatives belong to the class [Δ’]. Also we show that they are path derivatives with a nonporous system of paths satisfying the I.I.C....
On generalized preinvex functions and monotonicities.
On generalized symmetric means and Stirling numbers of the second kind
On generalized variations (II)
On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions
Mathematics Subject Classification: 33D60, 33D90, 26A33Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.
On gradients of functions definable in o-minimal structures
We prove the o-minimal generalization of the Łojasiewicz inequality , with , in a neighborhood of , where is real analytic at and . We deduce, as in the analytic case, that trajectories of the gradient of a function definable in an o-minimal structure are of uniformly bounded length. We obtain also that the gradient flow gives a retraction onto levels of such functions.
On Grande’s problem concerning functions