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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> <W... Discrete Jensen's Inequality for Operator Convex Functions, J. Math. Comput. Sci., vol. 2 (2012), 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... of Hadamard type for exponentially (s, m)-convex functions, AIMS Mathematics, 6(1) (2021), 882–892. 5
- 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,... & summary ==== * Introduction * Concept of Function * Definition (Function-Domain-Range)
- Special Functions by Dr. Muhey-U-Din @notes
- ====== Special Functions by Dr. Muhey-U-Din ====== These notes are provided and composed by Mr. [[:peo... 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-
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- by $|x+iy|$ or $|(x,y)|$. ===== Chapter 02: Functions and groups ===== * **Set:** A set is gene... w q)\wedge (p \vee q)$ is the contingency. * **Function:** Let $A$ and $B$ be two non-empty set sets... $F$ 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 bot
- MTH322: Real Analysis II (Spring 2023) @atiq
- ]]. ===== Course Contents: ===== **Sequences of functions:** Convergence, uniform convergence, unifor... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestra
- 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 o... ( 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
- FSc Part 1 (KPK Boards) @fsc
- presentation of a vector in a space. * know the fundamental defintion of vector using geometrical as ... * define unit vectors i, j and k. * repeat all fundamental definitions of vector in plane for space.... first n natural numbers by n!. * recognize the fundamental principle of counting and its illustratio... orem|Online view]]** </callout> ===== Chapter 8: Functions and Graphs ===== === Objectives === After r
- 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 Ahma... tter understanding of mathematics to it readers. Functional analysis is an abstract branch of mathemat
- 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 criter... 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 empha
- Notes of Analysis @notes
- </col></grid> <grid><col lg="4"> <well> [[::Notes:fundamental-of-complex-analysis-prof-m-saleem|{{::notes:fundamental-of-complex-analysis-prof-m-saleem.jpg?350}}]] <caption>**[[::Notes:fundamental-of-complex-analysis-prof-m-saleem]]**</caption> Solutions of some exercises from Fundamental of Complex Analysis written by Dr. M. Iqb
- MTH103: Exploring Quantitative Skills @atiq
- linear models, including rectangular coordinates, functions, empowering them to analyze real-world prob... ng Strategy and Problem solving using sets. === Functions: === Introduction to functions, rates of change, composition of functions, transformation of functions, absolute value function
- 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 ... ar University, Peshawar. </well> <well> **[[Notes:Functional-Analysis-by-Prof-Mumtaz-Ahmad]]** \\ Notes
- Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions
- ~~NOCACHE~~ ====== Chapter 09: Fundamentals of Trigonometry ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-09-ptb.jpg?nolink|Chapter 09: Fundamentals of Trigonometry}} Notes (Solutions) of Chapter 09: Fundamentals of Trigonometry, Text Book of Algebra an... Angle in the Standard Position * Trigonometric Function * Trigonometric Function of any Angle *
- 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 $s$ ... 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