Ostrowski Type Inequalities For Functions Research Articles

Ostrowski type inequalities for functions of two variables via generalized fractional integrals

Ostrowski type inequalities for functions of two variables via generalized fractional integrals

Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded

We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.

Some perturbed inequalities of Ostrowski type for twice differentiable functions

We establish new perturbed Ostrowski type inequalities for functions whose second derivatives are of bounded variation. In addition, we obtain some integral inequalities for absolutely continuous mappings. Finally, some inequalities related to Lipschitzian derivatives are given.

Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivatives

In this paper, we first prove three identities for twice partially differentiable functions. Then, by using these equalities, we obtain several trapezoid and Ostrowski type inequalities via generalized fractional integrals for functions with bounded partial derivatives. Moreover, we present some results for Riemann‐Liouville fractional integrals by special choice of main results.

New Modifications of Integral Inequalities via ℘-Convexity Pertaining to Fractional Calculus and Their Applications

Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator. A novel parameterized auxiliary identity involving generalised fractional integral is proposed for differentiable mappings. By using auxiliary identity, we derive several Ostrowski type inequalities for functions whose absolute values are ℘-convex mappings. It is presented that the obtained outcomes exhibit classical convex and harmonically convex functions which have been verified using Riemann–Liouville fractional integral. Several generalisations and special cases are carried out to verify the robustness and efficiency of the suggested scheme in matrices and Fox–Wright generalised hypergeometric functions.

Fractional Ostrowski type inequalities for bounded functions

We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions L_{p}, L_{infty } and L_{1}, respectively. We also give some midpoint type inequalities as special cases of our main results.

Fractional Ostrowski type inequalities for functions of bounded variaton with two variables

Fractional Ostrowski type inequalities for functions of bounded variaton with two variables

Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex

Abstract In this paper, we establish fractional Ostrowski inequalities for functions whose modulus of the first derivatives are prequasi-invex. Midpoint inequalities are also derived.

Fractional Ostrowski type inequalities for functions whose mixed derivatives are prequasiinvex functions

In this paper, the class of co-ordinated prequasiinvex functions is introduced, a new identity involving functions of two variable is establshed, some new fractional Ostrowski type inequalities are derived.

Fractional Ostrowski Type Inequalities for Functions Whose Mixed Derivatives are Prequasiinvex and alpha-Prequasiinvex Functions

In this paper, the authors introduce two new classes of generalized convexfunctions of two independent variables, and establish a new integralidentity, from which they derive some new fractional Ostrowski's integralinequalities for functions whose second derivatives are in these new classesof functions.

Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality

Abstract In this paper, we establish fractional Ostrowski’s inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality.

Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m,h1,h2)−Convex.

Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m,h1,h2)−Convex.

Ostrowski type inequalities for functions whose derivatives are strongly (a,m)-convex via k-Riemann-Liouville fractional integrals

In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly $(\alpha,m)$-convex with modulus $\mu\geq0$ via the $k$-Riemann-Liouvile fractional integral. Similar results related to $(\alpha,m)$-convex functions are obtained as a particular case.

Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively Convex.

Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively Convex.

New Ostrowski and Ostrowski-Gruss type inequalities for double integrals on time scales involving a combination of $\Delta$-integral means

In 2014, some Ostrowski type inequalities for functions of a single variable were obtained in [Y. Jiang, H. R\"uzgar, W. J. Liu and A. Tuna: Some new generalizations of Ostrowski type inequalities on time scales involving combination of $\Delta$-integral means, J. Nonlinear Sci. Appl., {\bf{7}} (2014), 311--324]. In this paper, we extend some of the inequalities obtained in the above paper for double integrals. One of our results generalizes a result in the article [W. J. Liu, Q. A. Ng\^o and W. Chen: On new Ostrowski type inequalities for double integrals on time scales, Dyn. Syst. Appl., {\bf 19} (2010), 189--198]. We also apply our results to the continuous, discrete and quantum time scales to obtain some interesting inequalities.

Ostrowski Type Inequalities for Functions Whose Second Derivatives are Convex Generalized.

Ostrowski Type Inequalities for Functions Whose Second Derivatives are Convex Generalized.

On generalization of weighted Ostrowski type inequalities for functions of bounded variation

In this paper, some generalization of weighted Ostrowski type integral inequalities for mappings of bounded variation are obtained and some interesting inequalities as special cases are given.

Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications

We first establish some Ostrowski type inequalities for mappings whose second derivatives absolute values are convex. Then we give some special cases of these inequalities which provide extensions of those given in earlier works. Finally, some applications of these inequalities for special means are also provided.

On weighted Ostrowski type inequalities for functions of two variables with bounded variation

On weighted Ostrowski type inequalities for functions of two variables with bounded variation

Ostrowski Type Inequalities for Functions Whose Derivatives are (m,h1,h2)-Convex

Ostrowski Type Inequalities for Functions Whose Derivatives are (m,h1,h2)-Convex