Type Inequalities For Functions Research Articles

New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Abstract In this paper, we introduce and investigate a new family, denoted by 𝒲Σ sc (λ, η, δ, r), of normalized holomorphic and bi-univalent functions with respect to symmetric conjugate points, defined in 𝕌, by making use the Borel distribution series, which is associated with the Horadam polynomials. We derive estimates on the initial Taylor-Maclaurin coefficients and solve the Fekete-Szeg˝o type inequalities for functions in this family.

Applications of the q-Wanas operator for a certain family of bi-univalent functions defined by subordination

In this work, we introduce and investigate a certain family [Formula: see text] of holomorphic and bi-univalent functions which are defined in the open unit disk [Formula: see text] associated with [Formula: see text]-Wanas operator. The estimates on the initial Taylor–Maclaurin coefficients [Formula: see text] and [Formula: see text] for the certain family are obtained. Also, we solve the Fekete–Szegö type inequality for functions in this family.

Coefficient-Related Studies and Fekete-Szegö Type Inequalities for New Classes of Bi-Starlike and Bi-Convex Functions

In this paper, we define certain families SE*(ϑ) and CE(ϑ) of holomorphic and bi-univalent functions which are defined in the open unit disk U. We establish upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szegö type inequalities for functions in these families.

Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions

In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family FΣ(δ,η,λ,θ;h) of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions. We provide estimates on the initial Taylor–Maclaurin coefficients and discuss Fekete–Szegő type inequality for functions in this family.

Fractional Simpson like type inequalities for differentiable s-convex functions

Abstract In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are s-convex via Riemann-Liouville fractional integrals. The case where the derivatives are bounded as well as the case where the derivatives satisfy the Hölder condition are also discussed. The obtained results extend some known results and refine another one. Applications of the results are given at the end.

Applications of (M,N)-Lucas Polynomials on a Certain Family of Bi-Univalent Functions

In the current article, making use of certain operator, we initiate and explore a certain family WΣ(λ,γ,σ,δ,α,β,p,q;h) of holomorphic and bi-univalent functions in the open unit disk D. We establish upper bounds for the initial Taylor–Maclaurin coefficients and the Fekete–Szegö type inequality for functions in this family.

Some Hermite–Hadamard type inequalities for functions of generalized convex derivative

Some Hermite–Hadamard type inequalities for functions of generalized convex derivative

Some weighted integral inequalities for differentiable beta-convex functions

In this paper, we establish some new weighted Hermite-Hadamard type inequalities for functions whose modulus of the first derivatives are beta-convex. Several known results are also obtained. Applications to random variables and special means are given.

Cebyšev inequalities for co-ordinated \(QC\)-convex and \((s,QC)\)-convex

In this paper, we establish some new Cebyšev type inequalities for functions whose modulus of the mixed derivatives are co-ordinated quasi-convex and \(\alpha \)-quasi-convex and \(s\)-quasi-convex functions.

Generalizations of Ostrowski type inequalities via Hermite polynomials

We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable functions of class C^{n}. Also, we consider new bounds for the remainder of the obtained identities by using the Chebyshev functional and certain Grüss type inequalities for this functional. By applying those results we derive inequalities for the class of n-convex 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 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.

Some integral inequalities for multiplicatively geometrically P-functions

In this manuscript, by using a general identity for differentiable functions we can obtain new estimates on a generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively geometrically P-functions. Some applications to special means of real numbers are also given.

Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex

In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.

Hermite\u2013Hadamard type inequalities for F-convex function involving fractional integrals

In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function. Moreover, we establish some trapezoid type inequalities for functions whose second derivatives in absolute values are F-convex. We also show that through the notion of F-convex we can find some new Hermite–Hadamard type and trapezoid type inequalities for the Riemann–Liouville fractional integrals and classical integrals.

Conformable fractional integral inequalities for some convex functions

The main purpose of this paper is to present new Hermite-Hadamard’s type inequalities for functions that belongs to the classes of Q(I), P(I), SX(h, I) and r-convex via conformable fractional integrals . The results presented here would provide extensions of those given in earlier works

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

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

Fractional Ostrowski Type Inequalities for Functions Whose First Derivatives Are s-Preinvex in the Second Sense

In this paper, we establish an fractional identity. Using this new identity we derives some fractional Ostrowski’s inequalities for functions whose first derivatives are s-preinvex in the second sense.

On Some Čebyšev Type Inequalities for Functions Whose Second Derivatives Are Co-Ordinated Logarithmically Convex

On Some Čebyšev Type Inequalities for Functions Whose Second Derivatives Are Co-Ordinated Logarithmically Convex