Results 21 to 30 of about 1,808,052 (104)

Fuzzy differential subordinations connected with the linear operator [PDF]

Mathematica Bohemica, 2021
We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$.
Sheza M. El-Deeb, Georgia I. Oros
doaj   +2 more sources

Introduction in third-order fuzzy differential subordination

Hacettepe Journal of Mathematics and Statistics
In light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential subordinations were taken into consideration for studies up until this point.
Georgia Irina Oros, Gheorghe Oros, Özlem Güney   +2 more
openaire   +3 more sources

Fuzzy Best Dominants for Certain Fuzzy Differential Subordinations [PDF]

Journal of Advances in Applied & Computational Mathematics, 2022
This paper aims to present a survey on certain fuzzy subordination properties for analytic functions defined in the open unit disk. The new results are derived by considering a certain differential operator. By making use of two differential properties of the operator we determine sufficient conditions to find the fuzzy best dominants for several fuzzy
Cătaş, Adriana
openaire   +3 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators [PDF]

Journal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +2 more sources

New Results about Fuzzy Differential Subordinations Associated with Pascal Distribution

Symmetry, 2023
Based upon the Pascal distribution series Nq,λr,mΥ(ζ):=ζ+∑j=m+1∞j+r−2r−11+λ(j−1)qj−1(1−q)rajζj, we can obtain a set of fuzzy differential subordinations in this investigation. We also newly obtain class Pq,λF,r,mη of univalent analytic functions defined by the operator Nq,λr,m, give certain properties for the class Pq,λF,r,mη and also obtain some ...
Sheza El-Deeb, Cotirla Luminiţa-Ioana
exaly   +3 more sources

FUZZY DIFFERENTIAL SUBORDINATION INVOLVING GENERALIZED NOOR-RUSCHEWEYH OPERATOR [PDF]

Facta Universitatis, Series: Mathematics and Informatics
A new operator Lnλ is introduced as a convex combination of Ruscheweyh derivative operator and Noor integral operator on the class A of analytic functions in the open unit disc E. The operator Lnλ is studied using fuzzy set theory and fuzzy differential subordination. All the results proved are sharp.
Khalida Inayat Noor, Muhammad Aslam Noor
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On Special Fuzzy Differential Subordinations Obtained for Riemann–Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators

Axioms, 2022
New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known ...
Alina Alb Lupaş
doaj   +2 more sources

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Axioms
This work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +2 more sources

DIFFERENTIALSUBORDINATIONSANDFUZZY DIFFERENTIALSUBORDINATIONSUSING HILBERTSPACEOPERATOR

South East Asian Journal of Mathematics and Mathematical Sciences, 2023
Differentialsubordinationhasrecentlybeenextendedfromthegeometric functiontheorytothe fuzzyset theorybyseveral authors. Inthispaper,we usethenotionoffuzzydifferentialsubordinationtointroducecertainfuzzyclasses usingHilbertSpaceOperator.Certaininterestingresultsareestablishedforthese classes.
Naik, Uday H., Shaikh, Raisa M., Gophane, Machchhindra T.   +2 more
openaire   +1 more source

On fuzzy differential subordination associated with $ q $-difference operator

AIMS Mathematics, 2023
<abstract><p>This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the $ q $-Bernardi integral
Shujaat Ali Shah, Ekram Elsayed Ali, Adriana Cătaș, Abeer M. Albalahi   +3 more
openaire   +2 more sources