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- Khuram Ali Khan
- y.org>\\ \\ **Field of Research:** Difference and functional equations, Real functions, Mathematical inequalities involving convex functions, Time Scales Calculus, Soft Sets </WRAP> <WRAP half ... Discrete Jensen's Inequality for Operator Convex Functions, J. Math. Comput. Sci., vol. 2 (2012), No. 3, 65
- Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
- ====== Unit 01: Functions and Limits ====== {{ :fsc:fsc_part_2_solutions:fsc-2-unit-01-ptb.jpg?nolink|Unit 01: Functions and Limits}} Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATI... & summary ==== * Introduction * Concept of Function * Definition (Function-Domain-Range) * No
- Atiq ur Rehman, PhD
- tk.edu.pk> **Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions * See profile at [[https://mathscinet.ams.org/mathscine... of Hadamard type for exponentially (s, m)-convex functions, AIMS Mathematics, 6(1) (2021), 882–892. 51. A.
- Special Functions by Dr. Muhey-U-Din @notes
- ====== Special Functions by Dr. Muhey-U-Din ====== These notes are provided and composed by Mr. [[:people:m... the lectures by Dr. Muhey-U-Din. {{ notes:special-functions-muzammil-tanveer.jpg?nolink|Special Functions}} ^ Name |Special Functions | ^ Provider |Mr. Muzammil Tanveer | ^Lectured by |Dr. Muhey-U-Din | ^ Pa
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- by $|x+iy|$ or $|(x,y)|$. ===== Chapter 02: Functions and groups ===== * **Set:** A set is generally... w q)\wedge (p \vee q)$ is the contingency. * **Function:** Let $A$ and $B$ be two non-empty set sets. If\... $F$ have same 1st elements. Then $F$ is called a function from $A$ to $B$ and is written as $F:A \to B$ denoted by $y=f(x)$. * **Bijective function:** (1-1 and onto) A function f which is both one
- MTH322: Real Analysis II (Spring 2023) @atiq
- ]]. ===== Course Contents: ===== **Sequences of functions:** Convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
- of \( p \) and \( q \) and false for others. ====Function==== A function is a relation between two non-empty sets \( A \) and \( B \), where each element of set \( A... ( A = \{1, 2, 3\} \) and \( B = \{a, b, c\} \). A function \( f: A \rightarrow B \) could be defined as \( f(1) = a, f(2) = b, f(3) = c \). ====Bijective Function==== A bijective function is a function that is bo
- FSc Part 1 (KPK Boards) @fsc
- orem|Online view]]** </callout> ===== Chapter 8: Functions and Graphs ===== === Objectives === After readin... le to * know linear, quadratic and square root functions. * define inverse functions and find their domain and range. * sketch the graph of the function $y=x^n$ for different values of $x$. * sketch t
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad @notes
- ======Functional Analysis by M Usman Hamid and Zeeshan Ahmad====== {{ :notes:functional-analysis-m-usman-hamid-and-zeeshan-ahmad.jpg?nolink|Functional Analysis by M Usman Hamid and Zeeshan Ahmad}} ... tter understanding of mathematics to it readers. Functional analysis is an abstract branch of mathematics t
- MTH321: Real Analysis I (Spring 2023) @atiq
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... ve various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the p
- MTH103: Exploring Quantitative Skills @atiq
- linear models, including rectangular coordinates, functions, empowering them to analyze real-world problems ... ng Strategy and Problem solving using sets. === Functions: === Introduction to functions, rates of change, composition of functions, transformation of functions, absolute value function, inverse
- Notes of Analysis @notes
- aleem. </well> </col><col lg="4"><well> [[::notes:functional-analysis-by-tahir-hussain-jaffery|{{::notes:functional-analysis-by-tahir-hussain-jaffery.jpg?350}}]] <caption> **[[::notes:functional-analysis-by-tahir-hussain-jaffery]]** </caption> Notes of functional analysis written by Tahir Hussain Jaffery of Pe
- Notes of Mathematics
- examinations after MSc. </well> <well> **[[Notes:functional-analysis-m-usman-hamid-and-zeeshan-ahmad]]** \\... ring most of the topics. </well> <well> **[[notes:functional-analysis-by-tahir-hussain-jaffery]]** \\ Notes of functional analysis written by Tahir Hussain Jaffery of Pe... ar University, Peshawar. </well> <well> **[[Notes:Functional-Analysis-by-Prof-Mumtaz-Ahmad]]** \\ Notes of f
- MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
- introduced these means. Stolarsky proved that the function $E(r, s)$ is increasing in both $r$ and $s$ i.e. ... q v$. \footnotetext{Key words and phrases. convex function, log-convex function, Stolarsky means. } \vspace{2mm} We consider the following function $f(x)=p^{2} \varphi_{r}(x)+2 p q \varphi_{t}(x)+
- MTH424: Convex Analysis (Spring 2024) @atiq
- e concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and th... ir properties, Best approximation theorem. Convex functions, Basic definitions, properties, various generalizations, Differentiable convex functions, Hermite and Hadamard inequalities, Subgradient,