Majorization problem for two subclasses of meromorphic functions associated with a convolution operator

Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

“…Linear programming, integer programming, and combinatorial optimization techniques rely heavily on inequalities to determine feasible solutions and guide search algorithms [5,18,28]. In simple words, mathematical inequalities are vital in various mathematical disciplines and have practical applications in diverse fields [11,[29][30][31]. They provide a framework for comparison, analysis, optimization, decision making, modeling, and proof techniques.…”

“…The great potency behind the development of mathematical inequalities is the notion of convexity [24,[35][36][37]. When we are talking about mathematical inequalities and do not account for convex functions, it is not fair to convex functions [18,30,38]. Convex functions are closely related to inequalities, because without convex functions several inequalities would not be possible to prove, such as the Hermite-Hadamard inequality [11], Jensen-Mercer inequality [39], Jensen-Steffensen inequality [18], Favard's inequality [40], and many others.…”

Majorization Properties for Certain Subclasses of Meromorphic Function of Complex Order

“…Many researchers have shown their interest in this site. Goyal and Goswami [18,19] studied this concept for majorization for meromorphic function with the integral operator, Tang et al [12] discussed it for meromorphic sin and cosine functions, Bulut et al, Tang et al, explained this concept for meromorphic multivalent functions, Rasheed et al [23] investigated a majorization problem for the class of meromorphic spiral-like functions related with a convolution operator, and Panigrahi and El-Ashwah [24] defned majorization for subclasses of multivalent meromorphic functions through iterations and combinations of the Liu-Srivastava operator and Cho-Kwon-Srivastava operator and much more. In addition, there are several other articles on this topic [18].…”

Multivalent Functions Related with an Integral Operator

“…For λ ∈ A p , given by (1), and using properties of gamma function, we have We also denote (1) for which arg(a t ) � π + (n − 1)η. For more details, see [15][16][17][18][19][20].…”