Classes of an univalent integral operator

"In this paper we introduce a new general integral operator for analytic functions in the open unit disk U and we obtain su cient conditions for univalence of this integral operator."

Univalence criteria for a general integral operator

"The main object of this paper is to give sufficient conditions for the general integral operator Tn, to be univalent in the open disk U, when gi, hi, ki ∈ Gbi for all i = 1, n. This general integral operator was considered in a recent work [Barbatu, C. and Breaz, D., ˘ Classes of an univalent integral operator, Studia Univ. Babes¸-Bolyai Math., accepted]. The results derived in this paper are shown to follow upon specializing the parameters involved in our results. Several corollaries of the main results are also considered."

Some General Integral Operator Inequalities Associated with φ -Quasiconvex Functions

This paper deals with generalized integral operator inequalities which are established by using φ -quasiconvex functions. Bounds of an integral operator are established which have connections with different kinds of known fractional integral operators. All the results are deducible for quasiconvex functions. Some fractional integral inequalities are deduced.

Some Univalence Conditions of a Certain General Integral Operator

For some classes of analytic functions f, g, h and k in the open unit disk U, weconsider the general integral operator Tn, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and erb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Some univalence conditions related to a general integral operator

For some classes of analytic functions f, g, h and k in the open unit disk 𝕌, we consider the general integral operator 𝒢n, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and Şerb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Univalence of New General Integral Operator Defined by the Ruscheweyh Type q-Difference Operator

In this study , by employing the Ruscheweyh type q-analogue operator we consider a new family of integral operators on the space of analytical functions. For this family, we demonstrate some sufficient conditions of univalence criteria on the class of analytical functions.

New univalence criteria for an integral operator with Mocanu’s and Şerb’s lemma

In this paper we consider a general integral operator for analytic functions in the open unit disk U and we obtain sufficient conditions for univalence of this integral operator, using Mocanu’s and S¸erb’s Lemma. This integral operator was considered in a recent work Barbatu, C. and Breaz, D., [ ˘ The univalence conditions for a general integral operator, Acta Univ. Apulensis Math. Inform., 57 (2019), 133–145]. The results derived in this paper are shown to follow upon specializing the parameters involved in our results. Several corollaries of the main results are also considered.

Univalence criteria for a general integral operator

For some classes of analytic functions f and 1 in the open unit disk U, we consider the general integral operatorMn, that was introduced in a recent work [2] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu?s and the Pescar?s univalence criteria. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Univalence Criteria for a General Integral Operator

In this paper we introduce a new general integral operator for analytic functions in the open unit disk 𝕌 and we obtain sufficient conditions for univalence of this integral operator.

Hermite-Hadamard type inequalities for B-1-convex functions involving generalized fractional integral operators

B??1-convexity is an abstract convexity type. We obtained Hermite-Hadamard inequality for B-1-convex functions. But now, there are new and more general integral operator types that are fractional integrals. Thus, we need to prove Hermite-Hadamard inequalities involving different fractional integral operator types with this article.