On Fubini theorem for general Perron integral
On functions behaving like additive functions.
On Functions Defined by Iterations of Each Other.
On functions of bounded n-th variation
On functions of bounded (p,2)-variation.
On functions whose graph is of linear measure 0 on sets of measure 0
On generalisation of polynomials in complex plane.
On generalizations of the series of Taylor, Lagrange, Laurent and Teixeira.
On generalized Darboux and connectivity functions
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 Grande’s problem concerning functions
On Hadamard type inequalities for generalized weighted quasi-arithmetic means.
On Hadamard type polynomial convolutions with regularly varying sequences
On harmonic quasiconformal quasi-isometries.
On Henstock-Dunford and Henstock-Pettis integrals.
On Henstock-Kurzweil method to Stratonovich integral
We use the general Riemann approach to define the Stratonovich integral with respect to Brownian motion. Our new definition of Stratonovich integral encompass the classical Stratonovich integral and more importantly, satisfies the ideal Itô formula without the “tail” term, that is, Further, the condition on the integrands in this paper is weaker than the classical one.