Definition 1.2. (Semigroup) A binary algebra (S;⊛) is called a semigroup if it satisfies the associativity property, i.e., (α ⊛ β)⊛ γ = α⊛ (β ⊛ γ) ∀α, β, γ ∈ S. A semigroup is called commutative if α⊛ β = β ⊛ α ∀α, β ∈ S. Definition 1.3. (Identity Element) An element 1l ∈ S is said to be a left identity of the binary algebra (S;⊛) if 1l ⊛ α = α ∀α ∈ S. Similarly, an element 1r ∈ S is said to be...

since the late seventies the german literary scene has witnessed a rising presence of german writers of foreign extraction examining their intercultural experiences on pivotal topics like refugees, schism, alienation, identity crises, and social and cultural conflicts. this paper deals with the method of presentation of the conflicts and problems related to culture, society and identity as depi...

Our aim in this article is to incorporate the notion of "strongly s-convex function" and prove a new integral identity. Some new inequalities of Simpson type for strongly s-convex function utilizing integral identity and Holder's inequality are considered.

Definition 1.1. A topological semigroup is a topological space S together with a continuous function m : S × S → S such that S is Hausdorff andm is associative. A subsemigroup of a semigroup S is a nonvoid set A ⊂ S such that A2 ⊂ A, and A is called a subgroup of S if it is a group with respect tom. An element e of a topological semigroup S is called an idempotent if e2 e. Similarly, an element...